What is the derivative of sin((pix)^7) ?

The derivative of sin((pix)^7) is cos(pi^7x^7)*7pi^7x^6

What is the first derivative of sin((pix)^7) ?

The first derivative of sin((pix)^7) is cos(pi^7x^7)*7pi^7x^6

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derivative of

sin ((π x)^{7})

cos (π^{7} x^{7}) \cdot 7 π^{7} x^{6}

Solution steps

\frac{d}{d x} (sin ((π x)^{7}))

Simplify

sin ((π x)^{7}) : sin (π^{7} x^{7})

= \frac{d}{d x} (sin (π^{7} x^{7}))

Apply the chain rule:

cos (π^{7} x^{7}) \frac{d}{d x} (π^{7} x^{7})

= cos (π^{7} x^{7}) \frac{d}{d x} (π^{7} x^{7})

\frac{d}{d x} (π^{7} x^{7}) = 7 π^{7} x^{6}

= cos (π^{7} x^{7}) \cdot 7 π^{7} x^{6}

\frac{\partial}{\partial x} (9 x + 2 y)

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

\int x 1 + 3 x^{2} d x

\frac{4}{1 - x}

y = 8 x - 12, y = x^{2}, x = 1

What is the derivative of sin((pix)^7) ?
The derivative of sin((pix)^7) is cos(pi^7x^7)*7pi^7x^6
What is the first derivative of sin((pix)^7) ?
The first derivative of sin((pix)^7) is cos(pi^7x^7)*7pi^7x^6