Find f(x) given that f"(x) = 3x^3 + 6x and f'(2) = 0 and f(2) = 0.

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

A:

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

A: Given function is

Q: If F(x) = A^x And F(2)-9, Find F(3). Assume A 0.

A:

Q: Find f. f"(x) = 4 + 6x + 24x², f(0) = 2, f(1) = 11 f(x)

A: Just integrating given equation twice and then find the value of integration constant with the help…

Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

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: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

A:

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 if f'(x)=20x^3+4x+4 and f(1)=-2

A: Given,           f'x=20x3+4x+4  and f1=-2

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

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: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

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

A:

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

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

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

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

A:

Q: Find f 12x2, f(0)6, f'(0) = 14 f "(x) = -2 18x - f(x)

A: Given:

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

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

A:

Q: Find f”(x) for the function f(x)= -4x^2-4x-9

A:

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

A: Given: fx=3x+3-2 f'x=-23x+3-3×3       =-63x+3-3 Therefore, f'x=-63x+3-3 .

Q: Let f(x) = (9x² – 8)"(-8x² + 2)13 f'(x) =

A:

Q: If f(x) = 2x2 - 4x + 9, find f'(2). f'(2) = (Simplify your answer.)

A: Given,f(x)=2x2−4x+9;To find:f'(2) Solution:  f(x)=2x2−4x+9Differentiating both sides w.r.t x we…