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

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

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

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

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derivative of

e^{c o s (x)}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial x} (x^{2} - 3 x y + 4 yz + z^{3})

x \to \infty lim (1 + \frac{7}{x})

\frac{s}{( s - 3 ) ^{3}}

\frac{( x ^{3} )}{3}

f (x) = 9 x^{3} - 7 x

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