True Or false, and justify answer: Given h(x)=x²-1 + 2TT -f(x), where a is a 2πn (x^-I-f'(x) x-n Constant. Then h'(x) = (a-1)x² a-1 +

Q: 2x + 8 Find f'(x) if f(x) x² + 3 f'(x)

A:

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: 1) The distance, travelled by a car, f(x), in meters, after x hours, can be represented by f(x + 20,…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = x ln (x^3 + 2x - 4)

A: We will use the definition of differential.

Q: Does the series converge or diverge?

A:

Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: Differentiate. V(x) = (3x³ + 3)(x* – 2x) V '(x) =

A:

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: B. Find f(x) if f

A: Solution of the problem as follows

Q: z=sin(4TT/3) | * Your answer n=2x^3-log(x)^5 Your answer d=|√(e^(x)^3 )|* Your answer

A:

Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: pose f'(x) = √(x+3) and f(1) = 0. Find a formula for f(x) and show all of your work.

A: Given query is to find the function.

Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: 9) Solve for f '(x) given f(x)= 2*

A:

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A:

Q: Differentiate. G(x) = (8x² + 9) (4x + Vx) Gʻ(x) =D %3D

A: We know that, from product rule of differentiation ddxfx·gx=fx·g'x+gx·f'x                  ⋯⋯1 We…

Q: f f(x)=x3-x+2 find a formula for(without using d/dx) a. f'(x) b.f''(x) c.f'''(x)

A: Explanation: Given function: f(x)=x3-x+2 a) f'(x) f(x)=x3-x+2f'(x)=3x2-1+0f'(x)=3x2-1

Q: f(x)=−6indexroot3√x−1/x^8 find f'(x)=

A: Given,           fx=-6x3-1x8

Q: Find the differential of y = e ³²cos3z (A) dy=3e-32 cos3z B) dy=-3e-32 (sin3z + cos3z) dy = -e-³²…

A:

Q: 4. ƒ(x) = (x − 3)(x² + 6x-²) -√2: f'(x) 5

A:

Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

A:

Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

A: