What is the derivative of sin(pi{f}(x)) ?

The derivative of sin(pi{f}(x)) is cos(pi{f}(x))pi derivative of {f}(x)

What is the first derivative of sin(pi{f}(x)) ?

The first derivative of sin(pi{f}(x)) is cos(pi{f}(x))pi derivative of {f}(x)

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\frac{d}{d x} (sin (π f (x)))

cos (π f (x)) π \frac{d}{d x} (f (x))

Solution steps

\frac{d}{d x} (sin (π f (x)))

Apply the chain rule:

cos (π f (x)) \frac{d}{d x} (π f (x))

= cos (π f (x)) \frac{d}{d x} (π f (x))

\frac{d}{d x} (π f (x)) = π \frac{d}{d x} (f (x))

= cos (π f (x)) π \frac{d}{d x} (f (x))

ln (x + 8)

\int_{0}^{2} x + 1 d x

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

f (x) = r^{2} - 14 x^{2}

\frac{d}{d x} (a x + b)

What is the derivative of sin(pi{f}(x)) ?
The derivative of sin(pi{f}(x)) is cos(pi{f}(x))pi derivative of {f}(x)
What is the first derivative of sin(pi{f}(x)) ?
The first derivative of sin(pi{f}(x)) is cos(pi{f}(x))pi derivative of {f}(x)