What is the derivative of cos(sin(15e^x)) ?

The derivative of cos(sin(15e^x)) is -sin(sin(15e^x))cos(15e^x)*15e^x

What is the first derivative of cos(sin(15e^x)) ?

The first derivative of cos(sin(15e^x)) is -sin(sin(15e^x))cos(15e^x)*15e^x

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derivative of

cos (sin (15 e^{x}))

- sin (sin (15 e^{x})) cos (15 e^{x}) \cdot 15 e^{x}

Solution steps

\frac{d}{d x} (cos (sin (15 e^{x})))

Apply the chain rule:

- sin (sin (15 e^{x})) \frac{d}{d x} (sin (15 e^{x}))

= - sin (sin (15 e^{x})) \frac{d}{d x} (sin (15 e^{x}))

\frac{d}{d x} (sin (15 e^{x})) = cos (15 e^{x}) \cdot 15 e^{x}

= - sin (sin (15 e^{x})) cos (15 e^{x}) \cdot 15 e^{x}

\int \frac{x ^{2}}{7 + 3 x ^{3}} d x

\frac{\partial}{\partial x} (e^{14 x y})

\frac{d}{d x} (3 x^{2} - 18 x + 24)

x \cdot sec (x)

n = 0 \sum \infty 4 + (- 1)^{n}

What is the derivative of cos(sin(15e^x)) ?
The derivative of cos(sin(15e^x)) is -sin(sin(15e^x))cos(15e^x)*15e^x
What is the first derivative of cos(sin(15e^x)) ?
The first derivative of cos(sin(15e^x)) is -sin(sin(15e^x))cos(15e^x)*15e^x