What is the derivative of f(x)=e^{9xsin(2x)} ?

The derivative of f(x)=e^{9xsin(2x)} is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))

What is the first derivative of f(x)=e^{9xsin(2x)} ?

The first derivative of f(x)=e^{9xsin(2x)} is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))

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derivative of

f (x) = e^{9 x s i n (2 x)}

e^{9 x s i n (2 x)} \cdot 9 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{9 x s i n (2 x)})

Apply the chain rule:

e^{9 x s i n (2 x)} \frac{d}{d x} (9 x sin (2 x))

= e^{9 x s i n (2 x)} \frac{d}{d x} (9 x sin (2 x))

\frac{d}{d x} (9 x sin (2 x)) = 9 (sin (2 x) + 2 x cos (2 x))

= e^{9 x s i n (2 x)} \cdot 9 (sin (2 x) + 2 x cos (2 x))

\int x^{2} \cdot e^{- 3 x} d x

\frac{\partial}{\partial x} (- ln (x))

\int \frac{14}{2 x + x x} d x

y^{^{''}} + 4 y^{^{'}} + 4 y = x cos (2 x)

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

What is the derivative of f(x)=e^{9xsin(2x)} ?
The derivative of f(x)=e^{9xsin(2x)} is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))
What is the first derivative of f(x)=e^{9xsin(2x)} ?
The first derivative of f(x)=e^{9xsin(2x)} is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))