What is the derivative of e^xsin(10x) ?

The derivative of e^xsin(10x) is e^xsin(10x)+cos(10x)*10e^x

What is the first derivative of e^xsin(10x) ?

The first derivative of e^xsin(10x) is e^xsin(10x)+cos(10x)*10e^x

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derivative of

e^{x} sin (10 x)

e^{x} sin (10 x) + cos (10 x) \cdot 10 e^{x}

Solution steps

\frac{d}{d x} (e^{x} sin (10 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = sin (10 x)

= \frac{d}{d x} (e^{x}) sin (10 x) + \frac{d}{d x} (sin (10 x)) e^{x}

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

\frac{d}{d x} (sin (10 x)) = cos (10 x) \cdot 10

= e^{x} sin (10 x) + cos (10 x) \cdot 10 e^{x}

\frac{d}{d x} (\frac{- x ^{2} + 9 x - 16}{x})

\int \frac{9 - w ^{2}}{w ^{2}} d w

\frac{d}{d y} (0)

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

\int_{0}^{1} e^{3 x + 1} d x

What is the derivative of e^xsin(10x) ?
The derivative of e^xsin(10x) is e^xsin(10x)+cos(10x)*10e^x
What is the first derivative of e^xsin(10x) ?
The first derivative of e^xsin(10x) is e^xsin(10x)+cos(10x)*10e^x