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

The derivative of e^{x*sin(x}) is e^{xsin(x)}(sin(x)+xcos(x))

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

The first derivative of e^{x*sin(x}) is e^{xsin(x)}(sin(x)+xcos(x))

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\frac{d}{d x} (e^{x \cdot s i n (x)})

e^{x s i n (x)} (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (e^{x s i n (x)})

Apply the chain rule:

e^{x s i n (x)} \frac{d}{d x} (x sin (x))

= e^{x s i n (x)} \frac{d}{d x} (x sin (x))

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

= e^{x s i n (x)} (sin (x) + x cos (x))

x \to 2 + lim (\frac{1}{x - 2})

f (x) = (arcsin (5 x + 3))^{3}

y^{^{''}} - y^{^{'}} - 2 y = x^{2}

\frac{d}{d x} ((3 x - 1)^{3})

\int \frac{ln ( x + 4 )}{x ^{2}} d x

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