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An alternative form of The Derivative!

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1 An alternative form of The Derivative!
Honors Precalculus An alternative form of The Derivative! 5/18/2019

2 Alternative Form of the Definition of the Derivative
Finds the value of the derivative at a specific point x = c. Gives the slope of the tangent line to f(x) at x = c. Gives the instantaneous rate of change of the position of a function at time c. (also known as the instantaneous velocity at time c) Find the slope of the tangent line to f(x) at (-2,-16). D.S.

3 2. The volume of a cube of side x meters is Find the instantaneous rate of change of the volume with respect to the side x at x = 3. We want the instantaneous rate of change at x = 3, or V’(3). D.S.

4 3. Find the derivative of at .
(use your calculator) 2 methods: a. Y= menu b. MATH menu CALC menu nDeriv(expression, variable, c-value) Note: your c-value must fall within the domain of x in your WINDOW.

5 An alternative form of The Derivative!
Honors Precalculus An alternative form of The Derivative!

6 Alternative Form of the Definition of the Derivative
Find the slope of the tangent line to f(x) at (-2,-16).

7 2.The volume of a cube of side x meters is Find the instantaneous rate of change of the volume with respect to the side x at x = 3.

8 3.Find the derivative of at .
(use your calculator) 2 methods:

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