Given f"(x) = 4x – 1 and f'(– 1) = 1 and f( – 1) = - 1. Find f'(x) and find f(4)

Q: If f(x) = (2x2 – 5)(2x + 2), find f '(x).

A:

Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: Find f if f' (x) = 20x³ + 10x+7 and f(1) = -2. Answer: f(x) =

A: Given: Now, Using:

Q: If f(x) = 6 + 3x - 4x², find f'(-1).

A: Given function is

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

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

A:

Q: Find f. f"(x)  =2/3x2/3

A:

Q: If f(x) = 7+ 7x – 4a², find f'( – 3). %3D

A:

Q: f"(x) = 6x – 2 | and f' (-2) = 3 and f(-2) = 6. Find f' (x) = and find f(4) =

A:

Q: Find f"(x). f(x) = (x? +7) °

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Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

A:

Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: Evaluate arctan (²) 20 1+0ª 1+

A: We have to solve

Q: If f(x) = 23x + 27, find f'(5).

A: First we have to find derivative of f(x) then we will find f'(5) as shown below

Q: Find f. f"(x)  =20x3 -12x2 +6x

A: Consider the provided function, f''x=20x3-12x2+6x Find  fx. Integrate both the sides with respect to…

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

A:

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: If f(x) = 3+3x - 3x², find f'(-5).

A: The given function isf(x)=3+3x-3x2

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

A:

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

A:

Q: If f(x) = 5 + 2x - 3x², find f'(2).

A: To differentiate the given function f(x).

Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: Find f. f(x) = f"(x) = 6 - 6x - 40x³, f(0) = 5, f'(0) = 7

A:

Q: If f(x) = 15x + 4, find ƒ'(5).

A: Given: The given function is fx=15x+4 To find: we have to find the value of f'5 Note: Multiple…

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: Use your answer from the last problem to find f'(-3) for f (x) = 3x² – 4x + 2.

A:

Q: Find f if f'(x) = Va(6+5x) and f(1) = –6. f(x) =

A:

Q: ƒ(x) = 8x¹³¹(x), find ƒ'(3).

A: Given query is to find indicated derivative.

Q: Find f'(1) for the following. f(x) = 2x² + 3x – 2 -

A: