What is (\partial)/(\partial x)(sin(pi*x)) ?

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

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(\partial)/(\partial x)(sin(pi*x))

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

\int x sin (x y) d y

\frac{d}{d x} (cos^{3} (4 x))

x \to 2 lim (x^{3} + 2 x + 1)

(3, - 8), (- 5, - 7)

\int 7 x^{\frac{3}{2}} d x

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