Solution assignment 05 Differentiation of standard functions

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Assignment 5

Differentiate:

y=14x^3-5x^3-x^3

Solution

This function consists of three standard functions and all of them can be differentiated according to standard function a. We get:

y'=42x^2-15x^2-3x^2=24x^2

It is faster to simplify this function before differentiation:

y=8x^3

of which the derivative is:

y'=24x^2

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