What is the derivative of cos((pix)^6) ?

The derivative of cos((pix)^6) is -sin(pi^6x^6)*6pi^6x^5

What is the first derivative of cos((pix)^6) ?

The first derivative of cos((pix)^6) is -sin(pi^6x^6)*6pi^6x^5

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derivative of

cos ((π x)^{6})

- sin (π^{6} x^{6}) \cdot 6 π^{6} x^{5}

Solution steps

\frac{d}{d x} (cos ((π x)^{6}))

Simplify

cos ((π x)^{6}) : cos (π^{6} x^{6})

= \frac{d}{d x} (cos (π^{6} x^{6}))

Apply the chain rule:

- sin (π^{6} x^{6}) \frac{d}{d x} (π^{6} x^{6})

= - sin (π^{6} x^{6}) \frac{d}{d x} (π^{6} x^{6})

\frac{d}{d x} (π^{6} x^{6}) = 6 π^{6} x^{5}

= - sin (π^{6} x^{6}) \cdot 6 π^{6} x^{5}

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

\frac{10}{s ^{2} + s + 10}

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

f (x) = \frac{3}{x + 1}, at x = 7

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 60 cos (8 t)

What is the derivative of cos((pix)^6) ?
The derivative of cos((pix)^6) is -sin(pi^6x^6)*6pi^6x^5
What is the first derivative of cos((pix)^6) ?
The first derivative of cos((pix)^6) is -sin(pi^6x^6)*6pi^6x^5