What is the derivative of cos((pix)^3) ?

The derivative of cos((pix)^3) is -sin(pi^3x^3)*3pi^3x^2

What is the first derivative of cos((pix)^3) ?

The first derivative of cos((pix)^3) is -sin(pi^3x^3)*3pi^3x^2

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derivative of

cos ((π x)^{3})

- sin (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

Solution steps

\frac{d}{d x} (cos ((π x)^{3}))

Simplify

cos ((π x)^{3}) : cos (π^{3} x^{3})

= \frac{d}{d x} (cos (π^{3} x^{3}))

Apply the chain rule:

- sin (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

= - sin (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

\frac{d}{d x} (π^{3} x^{3}) = 3 π^{3} x^{2}

= - sin (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

\frac{d}{d x} (ln (3 x^{2} - 2 x + 1))

\int_{0}^{π} cos^{3} (x) d x

ln (r)

\int_{0}^{3} (x^{3} - 5 x) d x

sin (x^{3})

What is the derivative of cos((pix)^3) ?
The derivative of cos((pix)^3) is -sin(pi^3x^3)*3pi^3x^2
What is the first derivative of cos((pix)^3) ?
The first derivative of cos((pix)^3) is -sin(pi^3x^3)*3pi^3x^2