What is the derivative of ({f}(x)^4) ?

The derivative of ({f}(x)^4) is 4{f}(x)^3 derivative of {f}(x)

What is the first derivative of ({f}(x)^4) ?

The first derivative of ({f}(x)^4) is 4{f}(x)^3 derivative of {f}(x)

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

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

Solution steps

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

Apply the chain rule:

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

= 4 f (x)^{3} \frac{d}{d x} (f (x))

f (x) = sin (6 x)

\int \frac{1}{sec ^{2} ( x )} d x

\int_{0}^{1} sin (2 π x) d x

x \to 0 lim (0.9 9^{2} + 1)

\int \frac{e ^{x} + 9}{( e ^{x} - 3 ) ^{2}} d x

What is the derivative of ({f}(x)^4) ?
The derivative of ({f}(x)^4) is 4{f}(x)^3 derivative of {f}(x)
What is the first derivative of ({f}(x)^4) ?
The first derivative of ({f}(x)^4) is 4{f}(x)^3 derivative of {f}(x)