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Popular >

(d^2)/(dx^2)(e^xsin(x))

Solution

\frac{d ^{2}}{d x ^{2}} (e^{x} sin (x))

Solution

2 e^{x} cos (x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (e^{x} sin (x))

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

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

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

= 2 e^{x} cos (x)

Popular Examples

integral of e^{t/(50)}

\int e^{\frac{t}{50}} d t

integral from 1 to 2 of ((x+1)^2)/x

\int_{1}^{2} \frac{( x + 1 ) ^{2}}{x} d x

derivative of x(ln(x)^2)

\frac{d}{d x} (x (ln (x))^{2})

integral of (ln(x)-1)/((ln(x))^2)

\int \frac{ln ( x ) - 1}{( ln ( x ) ) ^{2}} d x

limit as h approaches 0 of ((x+h)^{-5}-x^{-5})/h

h \to 0 lim (\frac{( x + h ) ^{- 5} - x ^{- 5}}{h})

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(e^xsin(x)) ?
The answer to (d^2)/(dx^2)(e^xsin(x)) is 2e^xcos(x)