Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

Q: If f(x) = 6x'n (=), find f'(2).

A: We first take ln on both sides and expand the right side

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

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

Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

A:

Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: Find f'(x). f(x)=(x5+1)-3

A:

Q: Find f'(x) for f(x) = e2xsec-1(2x)

A:

Q: Find f(x). -12x-3 f(x) = 3x - 12x 413 f''(x) =

A:

Q: Find f. f ''(x) = −2 + 30x − 12x2,    f(0) = 4,    f '(0) = 16   f(x) =

A:

Q: Find f'(x). f(x) = (x³ + 4) -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  f '(x). f(x) = x2 − 8x − 2x−2 + 3x−3

A: The sum or difference rule: If f(x) and g(x) are two differentiable functions, then (f ± g)’ = f’ ±…

Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

A:

Q: please find h'(1) based of given h(x)=f(g(x))

A:

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: Find f. f ''(x) = −2 + 12x − 12x2,    f(0) = 9,    f '(0) = 18   f(x) =

A:

Q: f(x)=150x/-25x-10 f'(x)=?

A:

Q: Find h' (2) given h (x) = ƒ (x) g (x and given -3, f' (2) = 5, and gʻ (2) = 1 f (2) = 3, g (2)

A:

Q: Find g’(2) when g(x)=f(x-x^2) and f’(-2)=1/3.

A:

Q: Differentiate. + 5x f(x) = e x2 f'(x) =O

A:

Q: Find f''(x). f(x)=2x-7

A:

Q: Find f'(x). f(x) = 4e - 3x

A: To find the derivative of given function