What is the derivative of sin((pix)^4) ?

The derivative of sin((pix)^4) is cos(pi^4x^4)*4pi^4x^3

What is the first derivative of sin((pix)^4) ?

The first derivative of sin((pix)^4) is cos(pi^4x^4)*4pi^4x^3

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derivative of

sin ((π x)^{4})

cos (π^{4} x^{4}) \cdot 4 π^{4} x^{3}

Solution steps

\frac{d}{d x} (sin ((π x)^{4}))

Simplify

sin ((π x)^{4}) : sin (π^{4} x^{4})

= \frac{d}{d x} (sin (π^{4} x^{4}))

Apply the chain rule:

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

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

\frac{d}{d x} (π^{4} x^{4}) = 4 π^{4} x^{3}

= cos (π^{4} x^{4}) \cdot 4 π^{4} x^{3}

\int_{2}^{4} (x^{2} + 2)^{3} x d x

\int (a - x)^{3} d x

\int (3 + 0.5 t) d t

\frac{\partial}{\partial x} (ln (2 x) + 5 y^{3})

\frac{\partial}{\partial y} (ln (x + \frac{y}{2 x}))

What is the derivative of sin((pix)^4) ?
The derivative of sin((pix)^4) is cos(pi^4x^4)*4pi^4x^3
What is the first derivative of sin((pix)^4) ?
The first derivative of sin((pix)^4) is cos(pi^4x^4)*4pi^4x^3