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Popular >

(d^2)/(dx^2)(5e^xcos(x))

Solution

\frac{d ^{2}}{d x ^{2}} (5 e^{x} cos (x))

Solution

- 10 e^{x} sin (x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (5 e^{x} cos (x))

\frac{d}{d x} (5 e^{x} cos (x)) = 5 (e^{x} cos (x) - e^{x} sin (x))

= \frac{d}{d x} (5 (e^{x} cos (x) - e^{x} sin (x)))

\frac{d}{d x} (5 (e^{x} cos (x) - e^{x} sin (x))) = - 10 e^{x} sin (x)

= - 10 e^{x} sin (x)

Popular Examples

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y = x^{3}, y = x^{2}, x = - 1

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\int \frac{23}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

limit as x approaches 5-of (8x)/(x-5)

x \to 5 - lim (\frac{8 x}{x - 5})

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(5e^xcos(x)) ?
The answer to (d^2)/(dx^2)(5e^xcos(x)) is -10e^xsin(x)