Consider the following. f(x) = 2x² + 7x - 14 (a) Find the derivative, by using the definition. f'(x) = (b) Find the instantaneous rate of change of the function at any value. f'(x) = Find the instantaneous rate of change of the function at the value x = -2. f'(-2) =

Q: How do you know the signs of the derivative at each x-value? How do you know that f'(1)>f'(2)?

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Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: Find the derivative of f(x) = -6x 10x10 f'(x) =

A: This question is related to derivatives.

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

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Q: Differentiate the function f(x) = 80. The derivative of fis f'(x) =

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Q: 2x2 – x +2 Find the derivative f'(x) by hand when f(x) = 12x + 7 f'(x) =

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Q: Find the indicated derivative for the function. -2 h''(x) for h(x) = 7x2 - 6x-8 h''(x) =

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Q: Complete the following. f(x) = 3x² - 7x + 25-24 at x = 4 (a) Find the derivative of the function and…

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Q: Consider the following. f(x) = 9x2 + 3x – 12; x = -6 (a) Find the derivative, by using the…

A: The given function is f(x)=9x2+3x-12. (a) Find the derivative of f(x)=9x2+3x-12 using the definition…

Q: The graph of a derivative f'(x) is shown. Given f(0)=50, determine the values. f(1)= f(2)= f(3)=…

A: Consider the derivative of the function f(x) given by f'(x). The area between the graph of the f'(x)…

Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'(x)=-2x8-x2;(2,8)