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Popular >

derivative of sin((pix^7))

Solution

\frac{d}{d x} (sin ((π x)^{7}))

Solution

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}

Graph

Popular Examples

(\partial)/(\partial x)(ln(x^2+y^4+2))

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n = 1 \sum \infty \frac{n}{n ^{2} + 2}

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x \to 4 - lim (2 x - 1)

tangent of f(x)=((x-4))/(sqrt(x)-2)tangent of

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Frequently Asked Questions (FAQ)

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