An alternative form of The Derivative!

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Presentation transcript:

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

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.

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.

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.

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

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

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.

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