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

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

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

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

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\frac{d}{d x} (tan^{2} (sin (x)))

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

Solution steps

\frac{d}{d x} (tan^{2} (sin (x)))

Apply the chain rule:

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

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

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

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

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