If h(x) = f(g(x)), find h'(5) given the following table of data. x f(x) g(x) f'(x) g'(x) 4 6 3 7 h'(5) = 5 6 сл 5 3 3 4 сл 5 4 сл 6 5

Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

A: Given,

Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: lim _{x\to \infty }\frac{\sqrt{x^2+1}+\sqrt{x}}{\sqrt[4]{x^3+x}-x}

A:

Q: if f'(2) =3 and g'(2) =-2 Find h'(2) if h(x) = 2f(x)  F'(2) if F(x) = 3f(x) -4g(x)

A: To find the value of h'(2) and F'(2)

Q: The graph of f'(x), the derivative of f, is shown in the figure to the right. If f(-1)=5, then…

A: we apply integration to find out f(7). We know that integral of derivative gives us the value of the…

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: Find the derivative of the function. z0.6 r (2) = * - 8 - 8 6 6z16 Or (2) = 0.6 12.8 2r0.6 Or (z) =…

A: We have to find derivative

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A:

Q: f(x) 5 1 -1

A:

Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

A:

Q: 0,2 0,5 0,6 0,4 0,528 0,3 f(x) 0,224 0,363 0,725 0,960

A:

Q: Find and simplify the derivative of the following function. f(x) = x+ 15

A: f(x) = x / ( x + 15)  We need to find and simplify the derivative of above given function.