What is the derivative of sin(tan(5x)) ?

The derivative of sin(tan(5x)) is cos(tan(5x))sec^2(5x)*5

What is the first derivative of sin(tan(5x)) ?

The first derivative of sin(tan(5x)) is cos(tan(5x))sec^2(5x)*5

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derivative of

sin (tan (5 x))

cos (tan (5 x)) sec^{2} (5 x) \cdot 5

Solution steps

\frac{d}{d x} (sin (tan (5 x)))

Apply the chain rule:

cos (tan (5 x)) \frac{d}{d x} (tan (5 x))

= cos (tan (5 x)) \frac{d}{d x} (tan (5 x))

\frac{d}{d x} (tan (5 x)) = sec^{2} (5 x) \cdot 5

= cos (tan (5 x)) sec^{2} (5 x) \cdot 5

What is the derivative of sin(tan(5x)) ?
The derivative of sin(tan(5x)) is cos(tan(5x))sec^2(5x)*5
What is the first derivative of sin(tan(5x)) ?
The first derivative of sin(tan(5x)) is cos(tan(5x))sec^2(5x)*5