What is the derivative of 5sin(pix) ?

The derivative of 5sin(pix) is 5cos(pix)pi

What is the first derivative of 5sin(pix) ?

The first derivative of 5sin(pix) is 5cos(pix)pi

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\frac{d}{d x} (5 sin (π x))

5 cos (π x) π

Solution steps

\frac{d}{d x} (5 sin (π x))

Take the constant out:

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

= 5 \frac{d}{d x} (sin (π x))

Apply the chain rule:

cos (π x) \frac{d}{d x} (π x)

= cos (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= 5 cos (π x) π

\frac{d}{d x} (\frac{x ^{3}}{3} - 4 x + 1)

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 3 + e^{\frac{x}{2}}

\frac{d}{d x} (4 x^{3} + 2)

\int 2 e^{2 x} sec^{3} (e^{2 x}) d x

x \to 1 + lim (\frac{x - 1}{x - 3})

What is the derivative of 5sin(pix) ?
The derivative of 5sin(pix) is 5cos(pix)pi
What is the first derivative of 5sin(pix) ?
The first derivative of 5sin(pix) is 5cos(pix)pi