What is the derivative of cos(ex) ?

The derivative of cos(ex) is -sin(ex)e

What is the first derivative of cos(ex) ?

The first derivative of cos(ex) is -sin(ex)e

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\frac{d}{d x} (cos (e x))

- sin (e x) e

Solution steps

\frac{d}{d x} (cos (e x))

Apply the chain rule:

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

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

\frac{d}{d x} (e x) = e

= - sin (e x) e

\frac{\partial}{\partial x} (- 3.24 x^{2} + 6.48 x - 1.8)

\int cos (x) sin (t - x) d x

\frac{\partial}{\partial x} (\frac{10 - x ^{3} - y ^{2}}{12 x})

\int_{- π}^{π} sin (2 x) sin (2 x) d x

\frac{d}{d x} (- \frac{1}{1 - x ^{2}})

What is the derivative of cos(ex) ?
The derivative of cos(ex) is -sin(ex)e
What is the first derivative of cos(ex) ?
The first derivative of cos(ex) is -sin(ex)e