Use the limit definition of the derivative to find f'(x) when f(x) = -2x².

Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…

A: Here first we find the slope using the formula m=f'0 Then equation of the tangent at point x = 0,…

Q: Use the shortcut rules to mentally calculate the derivative of the given function. f'(x) = 1 f(x)…

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Q: Differentiate the function.

A:

Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Determine the derivative for f(x)=√x + 2 from first principles (Do NOT use shortcuts)

A: The given function is

Q: Use technology to find f'(2), f'(15), f'(-3) for the given function when the derivative exists. f(x)…

A: Step 1:   Step 2: Step 3: Step 4:

Q: What is the limit of the derivative of a function as the independent variable approaches a specific…

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Q: Use the h --> 0 definition of the derivative for each function f and value x=c for  f(x)= sin x,  x…

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: Consider the function f(x)= x^2−3x.   Compute the derivative using the definition

A: In order to solve this question we will use the concept of first principle which defines derivative.