Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

Q: Use the chain rule to find the derivative of f(x) = 3(9z* – 82®)5 - You do not need to expand out…

A:

Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

A:

Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given  z = x2+3x-3y4 We have to find ∂z∂x.

Q: f(x) = v3x – 5 %3!

A:

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

A:

Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

A:

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

A:

Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: 2. Identify the iterative function f(x) = x3 – 9x2 – 6 if initial approximation x, = 2.25

A:

Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

A:

Q: Find the second derivatives:y^n for y=1/8x^4-1/3x^3+3/4x^2-3x+5 And f(x)=2x/5x-2

A: (i): Given : y=18x4-13x3+34x2-3x+5 f(x)=2x5x-2…

Q: solve the derivative f(x) = e^3x / 1-x^3

A:

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: Use the Second Derivative Test to find the Maximum and Minimum value(s) of the function 3 f(x) x* -…

A: We have the given function as fx=32x2-4x+lnx For maxima/minima, we need to calculate f'x as…

Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x4 −…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: Find the absolute maximum and minimum, if either exists, for f(x) = x - 8x + 9. Find the first…

A:

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: Solve the problem

Q: Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

A:

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

A:

Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

A:

Q: 1 y = 8x* + 7x³ + =x² – 14x + 6 %3D -

A:

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

A:

Q: Find the positive critical point of the function f (x) = x / x^4 + 4

A:

Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

A:

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

A:

Q: V/2x+3) (x²+1)" 17. f(x)=-

A:

Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

A:

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

A:

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

A:

Q: f(x)=5e^−2x^3+8x^8 f'(x)=

A:

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

A:

Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

A:

Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.

Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: Find the derivative of f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

A:

Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

A:

Q: A manufacturer has determined that the cost in pesos of producing shirts is given by C(x) = 0.5x² –…

A: Given Cost Function C(x)=0.5x2-x+6200Where x represents the number of shirts produced daily.

Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A: