derivative of the new function from the derivatives of the old functions: From the table below calculate the quantities asked for: x −2 −46 −4 −130 −16 f(x) −16 −194716 −130 −4394128 −8206 g(x) −4 −95176 −46 −2179972 −3826 f′(x) 25 12697 97 101401 1537 g′(x) 7 6255 39 50439 735 (fg)′(−2) = Problem 2: Suppose f(u)=tan(u) and g(x)=x4. Find the following. f(g(x)) f′(g(x))=  (f∘g)′(x)=

Q: 1. Let f(x) = Ve-r. Find the second derivative of f(x) with respect to r. For which values of x is…

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: Right- and left-hand derivatives Let f (x) = |x|. (a) Calculate the right-hand derivatives of f(x)…

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Q: Using the definition of the derivative, compute f'(x) for the following functions. (a) f(r) = -3 (b)…

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Q: - 17x Find the derivative of y with respect to x if y = e 口

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Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

Q: 2. Each of the following "derivatives" has been done incorrectly. In each case below, find a coun-…

A: topic - derivative of a function

Q: 1. the derivative of a function f is given by the formula x2 – 2x - 3 df (x) dx x - 1 (a). There is…

A: The expression, f(x)g(x) is undefined, if g(x)=0 . For the expression, f(x)g(x) , if g(x)≠0, and…

Q: 4. Find the derivative of each of the following functions. (a) f(x) = (x? – Va) - e* (b) g(x) c+ re

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Q: If you use the two-point central difference formula with h=0.1 to approximate the derivative of…

A: Given: fx=1x , x=2, and h=0.1 To find: Approximate the derivative using the two-point central…

Q: Find the derivative of the following function by first simplifying the expression. 9w-5w f(w) = 4w

A: Given,         fw=9w3-5w4w