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Popular >

derivative of tan(e^{sin(x}))

Solution

\frac{d}{d x} (tan (e^{s i n (x)}))

Solution

sec^{2} (e^{s i n (x)}) e^{s i n (x)} cos (x)

Solution steps

\frac{d}{d x} (tan (e^{s i n (x)}))

Apply the chain rule:

sec^{2} (e^{s i n (x)}) \frac{d}{d x} (e^{s i n (x)})

= sec^{2} (e^{s i n (x)}) \frac{d}{d x} (e^{s i n (x)})

\frac{d}{d x} (e^{s i n (x)}) = e^{s i n (x)} cos (x)

= sec^{2} (e^{s i n (x)}) e^{s i n (x)} cos (x)

Graph

Popular Examples

integral of t*e^{4t}

\int t \cdot e^{4 t} d t

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f (x) = \frac{1 + x + x ^{2}}{1 - x ^{2}}

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derivative of ln(sin(x)+cos^2(x))

\frac{d}{d x} (ln (sin (x)) + cos^{2} (x))

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\int \frac{y ^{2} - 81}{y} d y

Frequently Asked Questions (FAQ)

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