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

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

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

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

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

y^{^{'}} + y^{\frac{1}{2}} = 0

(sin^{2} (t))^{^{'}}

\frac{d}{d x} (- 18 sin (3 x))

x \to 0 + lim (x^{4})

x \to - 3 lim (\frac{x + 1}{x + 3})

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