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How do you find the derivative of #y=tan^2(3x)#?

Answer 1

Charles Arocha

By using the Chain Rule twice,

#y'=6tan(3x)sec^2(3x)#

Let us look at some details. By Chain Rule,

#y'=2tan(3x)cdot(tan(3x))'#

by another application of Chain Rule to #(tan(3x))'#,

#=2tan(3x)cdot sec^2(3x)cdot3#

by cleaning up a bit,

#=6tan(3x)sec^2(3x)#

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Answer 2

Isaiah Allen

To find the derivative of y = tan^2(3x), you use the chain rule. The derivative is dy/dx = 6tan(3x)sec^2(3x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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