Derivative of tan(x^2), tan^2(x), and tan(2x) with Chain Rule | Calculus 1 Exercises

We find the derivative of tanx^2 with the chain rule, tan^2x with the chain rule, and tan2x also with the chain rule. Just for kicks, we also differentiate a more complicated composite trig function at the end. #apcalculus #calculus1
Derivative of sin(x^2), sin^2(x), and sin(2x) with Chain Rule: • Derivative of sin(x^2)...
Derivative of cos(x^2), cos^2(x), and cos(2x) with Chain Rule: • Derivative of cos(x^2)...
Derivative of csc(x^2), csc^2(x), and csc(2x) with Chain Rule: • Derivative of csc(x^2)...
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[@arjunlomate569]

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[@WrathofMath]

Thanks so much!

[@RamanTiwari-sp1us]

In the last question last part , how did u know that tan theta is an inside fuction and e^tantheta is outside function ?

[@WrathofMath]

Think about the two possibilities. If f(x) = e^x is the outside function, it's clear what is being plugged in. It must be that x is tan(theta). On the other hand, if tan(theta) is the outside function, what must theta be so that tan(theta) is actually e^tan(theta)? This yields no easy answer.

[@Noor-sl5ep]

Thank you 💖💖

[@WrathofMath]

Welcome 😊

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[@WrathofMath]

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