5. If f (x) = (x + 1)(x2 – 2)3 then f'(x) da व्य 2= 2x (1) 2 A. & 6xx2 – 2)2 انی + (22 21 2 = Alv 3x + 1) (x2 – 2)2 aa 1 B. 6x(x( + 1)(x2 – 2)2 f" ( x ) = (x D. (x2 – 2)2(7x2 + 6x – 2) -

Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

A:

Q: 7x + 3 Given f(x) then f-1(x) will be 8

A: f(x)=7x+38 , we have to find f-1(x)

Q: 2 f(x) = 3x4 10

A:

Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

A:

Q: f(x)= 3x² -2, find f '(-1) O none of these answers O-12 O O-8 O-6

A:

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

Q: 6) L (x- 3)(x + 2)? dx

A:

Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

A:

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: Let f(x) = x²+ Ax + B. By knowing that f(1) = 5 and f'(1) = 5, find the values for A and B.

A:

Q: (x? + 3x — 45)dх J«+ 3)(х + 12)(4х — 3)

A:

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

A:

Q: 1)y = (8 + 7x³) 2)y = (x + 5)(2x+3) Find the derivative of the following functions (answer only two)…

A:

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

A: Given

Q: x³ + x 10) √ (x²+ + 2x² + 5) dx

A:

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: る(4xナx)(10x2+x2-2

A:

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: 4x 6x + 7x 3 If f(x) find f'(x) 24

A: f(x)=xn f'(x)=nxn-1 f(x)=1 f'(x)=0 f(x)=4x5-6x4+7x3x4

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

A:

Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A:

Q: If f(x)=√√√x² - 4x + 19, then what is f'(1) ?

A: Given query is to find the indicated derivative.

Q: 4) Given f(x) = 7x + 2, find f-1). (a) 7x + 2 (c) 7x + 2 (d) 2 (c) None of these

A: