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Popular >

derivative of sin((pix^3))

Solution

\frac{d}{d x} (sin ((π x)^{3}))

Solution

cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

Solution steps

\frac{d}{d x} (sin ((π x)^{3}))

Simplify

sin ((π x)^{3}) : sin (π^{3} x^{3})

= \frac{d}{d x} (sin (π^{3} x^{3}))

Apply the chain rule:

cos (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

= cos (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}

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

Popular Examples

derivative of (2x+1)^4 derivative of

(2 x + 1)^{4}

limit as x approaches infinity of log_{2}(((x+2))/((2*x+1)))

x \to \infty lim (lo g_{2} (\frac{( x + 2 )}{( 2 \cdot x + 1 )}))

integral from 1 to 8 of sqrt(x-1)

\int_{1}^{8} x - 1 d x

tangent of x^2sqrt(x^3+1)tangent of

x^{2} x^{3} + 1

integral of (sec^2(θ))/(tan(θ))

\int \frac{sec ^{2} ( θ )}{tan ( θ )} d θ

Frequently Asked Questions (FAQ)

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