Find the equation of the tangent line to sin^-1 (x - 2y) = 2xy - 1 at point (1, 1/2).

Q: Compute the derivative of the function y=arcsin1√x at x=2.

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Q: Find the derivative of the function. f (x) = cube root of ( 1+ tant )

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Q: The curve given by y2+y=x3-x is called and "elliptic curve" Using implicit differentiation, find the…

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Q: Use implicit differentiation to find * az given that yz* + x²z3 = дх = exyz

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Q: Compute the derivative at the point indicated without using a calculator.           y = sin- 1x,…

A: Given equation is y=sin-1x Rewriting the equation: siny=x Applying derivative with respect to x:…

Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: The second derivative of function: Inesina will be Select one: O sina O -sinz

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: Use negative differential to obtain an equation of tangent curves at a given point.

A: Solve the following

Q: Find the first four derivative  if  y= cosx

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: %3D

A: Solving

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: Find an equation of the tangent to the curve x+ Vy = 3 at point (4, 1). [Hint: Use implicit…

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Q: what is the first derivative of arccos4x

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Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: Find the derivative of y given that y = In (sinh x) %3D

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Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: y = arcsin sin (4x²)

A: To find the derivative y=arcsin sin4x2

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Find by implicit differentiation when ry sec(y) 1+y* 3 -

A: The given equation is:xy3secy-3=1+y4

Q: Find the derivative of y = sin (cot(3x)) %3D

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Q: Find the equation of line tangent of sin(2x) cos(3x)+ sec(x) TC At x = 6. %3D

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Q: Compute the equation of the tangent line to f (x) = sin(Tx) at x=0.5.

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: ex + siny = cos(x³y²) %3D

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Q: Find the derivative of y= sin cos (tan ax)

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Q: 1. y= ArctanB %3D 3-V9-x2

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Q: а. у %3D sinh(3x? In (1 + 3Vx))

A: We have to use chain rule here.

Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1

A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: Find all points on the graph of the function f(x) =2 Sin x + Sin2 xat which the tangent line…

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Q: y = cos /sin(tan Tx) %3D

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Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know,…

Q: Solve the first and second derivative of y = cosh2x+ sinhx

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Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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