a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and…

A:

Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

A:

Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

A:

Q: Find f if f’’(t)=2e^t + 3sin(t), f(0)= -5, f(pi) =-10

A:

Q: Let f(x) = |=| ƒ' (5). 0= √x-4 √x +4 Find f'(x).

A:

Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: "(x). "'(x). "(-9) and f"(7). = f(x) = x³ 3x² +7 mine whether the function f(x) is concave up or…

A: Topic:- derivatives and application of derivatives     Definition:- When the second derivative is…

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

A:

Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: F=11+/2x+3, find F'(3) find F'(8)

A:

Q: Find f(x) if f "(x) = x -3/2, f ' (4) = 1  and f(4) = 4.

A:

Q: Find  f '(a). f(x) =    1 − 4x

A:

Q: Find f'(x) and f'(c).

A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

A:

Q: Let f(x) - 6e* +2 + e'. f'(0) =

A: The given function is f(x)=-6ex+2+e1

Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

A:

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(5x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: Given fx=x5+2x5x5+5x-4c=0

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: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

Q: Find f'(x) for the function. RM) = 7x(17x* + ) x + 1 f'(x) = %3D

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: Find  f' in terms of g' .

A: f(x)=g(ex)chain rulef(g(x))'= f'(g(x))* g'(x)

Q: f(x) = x2sinx, then find f'(x) ?

A: The given function is  f(x) = x2.sinx

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Si f(x) = (x2) / (1+x). Calcule f''(1).

A:

Q: Find f'(a). ƒ'(a) = f(x) = V 2 - 2x

A: Given query is to find indicated derivative.

Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function

Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

A: