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Popular >

derivative of cos((pix^9))

Solution

\frac{d}{d x} (cos ((π x)^{9}))

Solution

- sin (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

Solution steps

\frac{d}{d x} (cos ((π x)^{9}))

Simplify

cos ((π x)^{9}) : cos (π^{9} x^{9})

= \frac{d}{d x} (cos (π^{9} x^{9}))

Apply the chain rule:

- sin (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

= - sin (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

\frac{d}{d x} (π^{9} x^{9}) = 9 π^{9} x^{8}

= - sin (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

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\frac{\partial}{\partial x} (x^{0.1})

integral of (1-x)^2sqrt(x)

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

y^{''}-10y^'+25y=0,y(0)=7,y^'(0)=0

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 7, y^{^{'}} (0) = 0

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derivative of-1.5sin(1.5x)derivative of

- 1.5 sin (1.5 x)

Frequently Asked Questions (FAQ)

What is the derivative of cos((pix^9)) ?
The derivative of cos((pix^9)) is -sin(pi^9x^9)*9pi^9x^8
What is the first derivative of cos((pix^9)) ?
The first derivative of cos((pix^9)) is -sin(pi^9x^9)*9pi^9x^8