Derivatives of Polynomial Functions - Concept

Concept Concept (1)

The derivative of a polynomial function involving multiple linear and/or power functions can be found using the formulas for finding linear and power functions, along with the constant multiple and sum rules. The constant multiple rule lets the polynomial derivatives of multiples of power functions simply be multiples of their derivatives, while the sum rule allows monomial parts of the polynomial to be calculated one by one.

Sample Sample Problems (3)

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Derivatives of Polynomial Functions - Problem 1
Problem 1
How to use the constant multiple rule and the sum rule to differentiate combinations of power functions, radical functions, and reciprocal functions.
Derivatives of Polynomial Functions - Problem 2
Problem 2
How to compute the derivative of a polynomial function at a point, and how to find an equation of the line tangent to its graph at that point.
Derivatives of Polynomial Functions - Problem 3
Problem 3
How to find points on the graph of a polynomial function with a given slope.