Home > Calculus > Special Limits Involving sin(x), x, and tan(x)

What is the derivative of #tanx^3#?

Answer 1

Cameron Alexander

The derivative is #3x^2*sec^2(x^3)# where #secx# is the secant function

The derivative is

#d(tanx^3)/dx=d(x^3)/dx*1/cos^2(x^3)=3x^2*(1/cos^2(x^3))=3x^2*sec^2(x^3)#

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Answer 2

Luke Alvarez

The derivative of ( \tan(x^3) ) with respect to ( x ) is:

[ \frac{d}{dx} \tan(x^3) = 3x^2 \sec^2(x^3) ]

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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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