What is (\partial)/(\partial x)(sin(pix)) ?

The answer to (\partial)/(\partial x)(sin(pix)) is cos(pix)pi

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(\partial)/(\partial x)(sin(pix))

\frac{\partial}{\partial x} (sin (π x))

cos (π x) π

Solution steps

\frac{\partial}{\partial x} (sin (π x))

Apply the chain rule:

cos (π x) \frac{\partial}{\partial x} (π x)

= cos (π x) \frac{\partial}{\partial x} (π x)

\frac{\partial}{\partial x} (π x) = π

= cos (π x) π

\frac{d}{d x} (4 x^{5})

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{5 x}

\frac{d}{d x} (cos (x) + sin (x))

s l o p e f (x) = \frac{1 + 3 x ^{\frac{1}{2}}}{5 + x ^{\frac{3}{2}}}

d er i v a t i v e y = 7 x + 4

What is (\partial)/(\partial x)(sin(pix)) ?
The answer to (\partial)/(\partial x)(sin(pix)) is cos(pix)pi