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Calculate the derivative.$$f(x)=2 x^{3}-3 x^{2}+5$$

$6 x^{2}-6 x$

Calculus 1 / AB

Chapter 3

DIFFERENTIATION

Section 2

The Derivative as a Function

Derivatives

Differentiation

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Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

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Okay, so we're asked to find the derivative of this function. So to do this, we use the power rule on each term because the derivative is linear. So it's the derivative of two x cubed, plus the derivative of negative three X squared, plus the derivative of five. And for the first term, you bring the three out front times two x lower the power by one plus I can bring down two, decrease the power by one and then the derivative of constant zero. And then if we simplify, these multiplication is going on. Here we get six X squared minus six eggs for our F prime.

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