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

The derivative of e^{x*cos(x}) is e^{xcos(x)}(cos(x)-xsin(x))

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

The first derivative of e^{x*cos(x}) is e^{xcos(x)}(cos(x)-xsin(x))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{0}^{6} π (2 x)^{2} d x

\frac{d}{d x} (ln (\frac{x ^{2}}{x + 1}))

\int \frac{( cos ( x ) )}{( ( sin ^{2} ( x ) ) ^{\frac{1}{3}} )} d x

\frac{d}{d t} (t^{2} + 4 t)

y^{^{'}} + 10 y = 1

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