What is (d^2)/(dx^2)(cos^2(4pix)) ?

The answer to (d^2)/(dx^2)(cos^2(4pix)) is -32pi^2cos(8pix)

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(d^2)/(dx^2)(cos^2(4pix))

\frac{d ^{2}}{d x ^{2}} (cos^{2} (4 π x))

- 32 π^{2} cos (8 π x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (cos^{2} (4 π x))

\frac{d}{d x} (cos^{2} (4 π x)) = - 8 π cos (4 π x) sin (4 π x)

= \frac{d}{d x} (- 8 π cos (4 π x) sin (4 π x))

\frac{d}{d x} (- 8 π cos (4 π x) sin (4 π x)) = - 32 π^{2} cos (8 π x)

= - 32 π^{2} cos (8 π x)

y^{^{'''}} - y^{^{''}} - y^{^{'}} = 0

\int 7 x e^{2 x} d x

x \to π lim ((x + π) csc (x))

f (x) = \frac{z - 5}{z + 5}

\int \frac{x ^{3} e ^{x^{2}}}{( x ^{2} + 1 ) ^{2}} d x

What is (d^2)/(dx^2)(cos^2(4pix)) ?
The answer to (d^2)/(dx^2)(cos^2(4pix)) is -32pi^2cos(8pix)