(a) g (x)=x² -9 -69 8(5) = 8(-3) =

Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

A:

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

A:

Q: need help solving this please

A:

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

A:

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A: The median size of a new single-family house built in the United States is modeled by the equation…

Q: - 2< x< -1 f(x) = {-2 -1< x< 1 .0 1< x< 2

A:

Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

A:

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

A:

Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

Q: The first derivative of f(×)=(5x4 - 6x)1/3

A:

Q: Find the second derivative of x3 – 5x2 + x = 0. Зx2 -10х Зх + 10 WXWX XWXW 10х - 5 бх - 10 XXXX wwww

A:

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 derivative of z² + 5 (à). f(x) 12-5

A:

Q: Find the first, second, and third derivatives of f(x) = x^4 − 2x^3 + 2x^2 − x + 8.

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Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

A:

Q: 9 8 Find the derivative of f (x) = 2a4 + x2

A:

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: 3 fx} -1 2 4 5 -1 f(0) = 3 f(x) = 0, x = f-'(0) = f-'(x) = 0, x = 3.

A: we have to find the following

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: 5. f(x)=2(x- 2)*– 1 10 4 46 810 -10-8-6 -4-2 -2- -4 6, CO

A:

Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

A:

Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

A:

Q: 33. Find the derivative of f(x)= (3x-2x?)ª 1. 3(3x-2x²)² II. 3(3x-2x³)² (3-4x) II. (3x-2x?) (3-4x)…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

A:

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: 9-11. Solve the derivative using chain rule. y = x + 8x² + 16.

A:

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

A:

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

A:

Q: 8x Find the numerator of the derivative of the algebraic function x5+3 -8 (3 + 5x^5) -8(3 + 6x^5) 8…

A: The given algebraic function is fx=8xx5+3. Calculate the numerator of the derivative of the given…

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

A:

Q: x3 – 3x2 + 5 f (x) = x3 + 1

A: We have to find derivative

Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

A:

Q: x² +5x +6 f(x) = x² - 4

A:

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

A:

Q: Find the fourth derivative of  f(x) = x^4-6x^3+7x-1

A: Given: f(x)=x4−6x3+7x−1

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.