What is (d^2)/(dx^2)(e^{cos(x)}) ?

The answer to (d^2)/(dx^2)(e^{cos(x)}) is e^{cos(x)}sin^2(x)-e^{cos(x)}cos(x)

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(d^2)/(dx^2)(e^{cos(x)})

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

\frac{d}{d x} (e^{c o s (x)}) = - e^{c o s (x)} sin (x)

= \frac{d}{d x} (- e^{c o s (x)} sin (x))

\frac{d}{d x} (- e^{c o s (x)} sin (x)) = e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

= e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

\int - \frac{1}{1 + 9 x ^{2}} d x

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

\int - 5 x^{2} sin (π x) d x

\frac{1}{( x ^{2} - 1 ) ( x ^{2} + 5 x + 5 )}

\int_{0}^{1} (e^{2 x} - e^{- x}) d x

What is (d^2)/(dx^2)(e^{cos(x)}) ?
The answer to (d^2)/(dx^2)(e^{cos(x)}) is e^{cos(x)}sin^2(x)-e^{cos(x)}cos(x)