What is the derivative of e^{6xcos(x}) ?

The derivative of e^{6xcos(x}) is e^{6xcos(x)}*6(cos(x)-xsin(x))

What is the first derivative of e^{6xcos(x}) ?

The first derivative of e^{6xcos(x}) is e^{6xcos(x)}*6(cos(x)-xsin(x))

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\frac{d}{d x} (e^{6 x c o s (x)})

e^{6 x c o s (x)} \cdot 6 (cos (x) - x sin (x))

Solution steps

\frac{d}{d x} (e^{6 x c o s (x)})

Apply the chain rule:

e^{6 x c o s (x)} \frac{d}{d x} (6 x cos (x))

= e^{6 x c o s (x)} \frac{d}{d x} (6 x cos (x))

\frac{d}{d x} (6 x cos (x)) = 6 (cos (x) - x sin (x))

= e^{6 x c o s (x)} \cdot 6 (cos (x) - x sin (x))

\frac{\partial}{\partial y} (x y^{2} + b x^{2} y)

\frac{d}{d x} (- x y)

y = e^{4 c o s (x)}

\int e^{x} + \frac{1}{x} d x

f (x) = sin (cos (x))

What is the derivative of e^{6xcos(x}) ?
The derivative of e^{6xcos(x}) is e^{6xcos(x)}*6(cos(x)-xsin(x))
What is the first derivative of e^{6xcos(x}) ?
The first derivative of e^{6xcos(x}) is e^{6xcos(x)}*6(cos(x)-xsin(x))