What is the derivative of e^{cos(2x}) ?

The derivative of e^{cos(2x}) is -2e^{cos(2x)}sin(2x)

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

The first derivative of e^{cos(2x}) is -2e^{cos(2x)}sin(2x)

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\frac{d}{d x} (e^{c o s (2 x)})

- 2 e^{c o s (2 x)} sin (2 x)

Solution steps

\frac{d}{d x} (e^{c o s (2 x)})

Apply the chain rule:

e^{c o s (2 x)} \frac{d}{d x} (cos (2 x))

= e^{c o s (2 x)} \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= e^{c o s (2 x)} (- sin (2 x) \cdot 2)

Simplify

= - 2 e^{c o s (2 x)} sin (2 x)

cos (π - 4 x)

\int \frac{3}{125} x^{2} d x

x \to 0 lim (4 x)

\int (\frac{3}{x ^{2}} - \frac{2}{x ^{3}}) d x

n = 1 \sum \infty \frac{n !}{n \cdot 3 ^{n}}

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