What is the derivative of tan^2(sin(θ)) ?

The derivative of tan^2(sin(θ)) is 2tan(sin(θ))sec^2(sin(θ))cos(θ)

What is the first derivative of tan^2(sin(θ)) ?

The first derivative of tan^2(sin(θ)) is 2tan(sin(θ))sec^2(sin(θ))cos(θ)

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derivative of

tan^{2} (sin (θ))

2 tan (sin (θ)) sec^{2} (sin (θ)) cos (θ)

Solution steps

\frac{d}{d θ} (tan^{2} (sin (θ)))

Apply the chain rule:

2 tan (sin (θ)) \frac{d}{d θ} (tan (sin (θ)))

= 2 tan (sin (θ)) \frac{d}{d θ} (tan (sin (θ)))

\frac{d}{d θ} (tan (sin (θ))) = sec^{2} (sin (θ)) cos (θ)

= 2 tan (sin (θ)) sec^{2} (sin (θ)) cos (θ)

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What is the derivative of tan^2(sin(θ)) ?
The derivative of tan^2(sin(θ)) is 2tan(sin(θ))sec^2(sin(θ))cos(θ)
What is the first derivative of tan^2(sin(θ)) ?
The first derivative of tan^2(sin(θ)) is 2tan(sin(θ))sec^2(sin(θ))cos(θ)