Given the following two tables, which contain function values for f (x) and g(x), use them to evaluate the requested derivative. X f(x) f'(x) g(x) g '(x) d dx f(x) 1 1 2 1 5 0.1 x=4 2 3 6 2 3 0.2 3 4 -1 Enter your answer as a decimal rounded to one place. 3 5 -0.4 4 1 -2 4 2 0.7 5 2 -3 5 1 0.9

Q: Below is the graph of y = f'(x), where f'(x) is the derivative of f(x). + -3 -2 -1 1 2 3

A: Explanation:

Q: Find the derivative of each function. a. f(x) = e³x f'(x) = b. f(x) = -8e³ f'(x) = c. f(x) = -4e0.5.…

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Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: 0.0 2 -0.5 -2 -1.0 2 I II III 2. 2.

A: In I: the function is less than 0 for some and later greater than 0. The function is increasing…

Q: Calculate the following derivative if h(w) Vwew. (Use symbolic notation and fractions where needed.)…

A: According to the product rule, derivative of the product uv where u and v are functions of x is…

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Given the graph of a function f(x), sketch the graph of the derivative on the axes below: f(x)

A: Given: The graph of the function f(x) is given. To find: The graph of the derivative function:…

Q: Consider the following function. f(x) = x + 1, (-1, 0) (a) Find an equation of the tangent line to…

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Q: Simplify the function, then find the derivative. f(x) = ln (x√x² - 1)

A: Given:We are required to find:

Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: · f(x) = e2x*-3z 2r4. %3D 4–3x

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