If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

Q: If f(x) = x + VT, find f' (1)

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Q: If f(x) = (3x +8) find f'(z). Find f'(1).

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

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

Q: If f(x) = 3x? – 2e", find: f'(x) = = (x),.

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Q: If f(x) = v19x, find f'(x). f'(x) =

A: Using Derivatives

Q: If f'(x)=8x' – 6x² +10x – 9 and f (1)=24, find f(x).

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Q: If h(x) = 4+ 3f(x), where (2) = 4 and f (2) = 2, find h'(2). %3D h'(2) =

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

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

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Q: Find  f '(a). f(x) =    1 − 4x

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Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

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Q: If  h(x) =  sqrt of 7 + 6f(x)  where  f(4) = 7 and f '(4) = 2,  find h'(4).

A: Solution is given below..

Q: If f(x)= 4x+7/5x+2, find: f'(x)= f'(5)=

A: Given,         fx=4x+75x+2

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 6x +8x2 + 3x f'(x) = f'"(x) = f3)…

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Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

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

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Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: 9x7 p(x) = .Find p'(x). %3D x² + 1

A: Given :p(x)=9x7x2+1

Q: If f(x) V10x, find f'(x). Find f'(7).

A: f(x)=√(10x)

Q: If f(x) = V5x + 6, find f'(x). %3D Find f'(3).

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Q: If f(x) = f'(x) = f'(1) = 7x + 5 6x + 2 3 find:

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Q: Given f''(x) = 3x + 3 and f'( – 3) = 4 and f( – 3) = 5. Find f'(x) = and find f(3)

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

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

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: 4a3 – 5æ? Let f(x) Evaluate f'(x) at x = 1.

A: