(2) Find the derivatives of the given functions. 12 (a) h(w) = 3w? + w2 0- 1 (b) y% = (c) AP if V =ar2b dr 1. 4) 2) x2 - 4.x (d) H(x) = 10x +4 g3 + x2 +x- 2) (e) p(x) = (x² + 5x + 2)(x* - r + x? + x-2)

Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

A:

Q: f(x)=a? +bx+e The value of third derivative of the function is 6 at x=1. Find the value of a b) -1…

A: Given: f(x)=ax3+bx+c, whose third derivative of function is 6 at x=1 To find: The value of a

Q: Question 3 Which of the following is the derivative of y = (x³ − 3) (2x − 1)? Oy = -8x³3x² +6 O y =…

A:

Q: Fnd the derivative of the following functions. 6. f(x) = (2x3 - 3)(x2 - 4x) 5x-3 7. h(x) = 8. g(x) =…

A:

Q: C. Differentiation. Use the theorems in differentiation to solve for the derivative of the…

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: y = V4x² + 5x

A:

Q: Find the value of the derivative of the function 2f(x). +3 cas(g(x) at x=1 if f(1)=0, f(1)=1,…

A:

Q: 3. Determine the function f (x) for which f' (x) r3 II

A:

Q: Nhich of the following is the derivative of the function g(z) = 2? Og°(2) = 5 5e²+5z-e² g’ ( z (e-)?…

A: Given,  gz = 5zez  We have to find the derivative of the function gz = 5zez

Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x…

A: All the parts have been solved in detail

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

A:

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(2) and F(9) 1 IN…

A:

Q: Use the given information to find f '(4). f(x) = g(x)h(x) g(4) = 9 and g'(4) = -5 h(4) = -7 and…

A: Will differentiate the given function with respect to X using the product rule and then substitute x…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

A:

Q: V1-x-2 Which of the following is part of the domain of the derivative of y= X +3 A (-4,4) B (-1,1)…

A:

Q: Consider the following function. g(x) = -x² + 3x + 3 Find the first and second derivatives of the…

A:

Q: Which among the de (18y 54y+ dy 5' (2y- 1)

A: Given that: dwdy=(18y4-54y3+90y2)(2y3-1)2+(2y3-1)3(2y-3)

Q: Differentiate the function. 2 3 4 f(x) = 12(3x +2)° (4x- 3) f'(x) =|

A:

Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

A:

Q: Question 3 Suppose that f satisfies | f(x) dx = 6 and 1| f(x)dx= –4. Calculate -5 (2.x + 10 – f(x))…

A: Given that: ∫-53f(x)dx=6 and ∫35f(x)dx=-4

Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

A:

Q: 3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions tha…

A:

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

A: The given function is y=x2+1x2+4 Differentiate with respect to x,

Q: 2. Let a and b be constant. Applying the chain rule to find the derivative of the following…

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))g'(x). Essentially this means taking…

Q: 2. f(x) = 3x²-3x+1 2x (Ans. 31 2 21

A:

Q: 3. Determine the derivative in simplified form (no negative exponents, radicals and fully factored…

A:

Q: 1. Find the derivative of the function y = (x² – 1) (2x² – 3). | 2. Differentiate g (x) = x+1l x+2 °…

A:

Q: 1. Find the derivatives of the following functions using derivative rules from Sections 4.3/4.4.…

A:

Q: Challenge #2: Sketch the derivative of the function, f(x). T X

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…