What is the derivative of 2cos(pix) ?

The derivative of 2cos(pix) is -2pisin(pix)

What is the first derivative of 2cos(pix) ?

The first derivative of 2cos(pix) is -2pisin(pix)

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\frac{d}{d x} (2 cos (π x))

- 2 π sin (π x)

Solution steps

\frac{d}{d x} (2 cos (π x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (cos (π x))

Apply the chain rule:

- sin (π x) \frac{d}{d x} (π x)

= - sin (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= 2 (- sin (π x) π)

Simplify

= - 2 π sin (π x)

x \to 0 lim (\frac{1}{( x - 1 ) ^{2}})

\frac{\partial}{\partial y} (3 x y)

x \to 0 + lim (x ln (x^{8}))

y^{^{'}} = (0.04 \cdot 4) - \frac{y}{1840} 4

x \to - 1 lim (\frac{1 - x}{x + 1})

What is the derivative of 2cos(pix) ?
The derivative of 2cos(pix) is -2pisin(pix)
What is the first derivative of 2cos(pix) ?
The first derivative of 2cos(pix) is -2pisin(pix)