What is the derivative of (4/5 x^4) ?

The derivative of (4/5 x^4) is (1024x^3)/(625)

What is the first derivative of (4/5 x^4) ?

The first derivative of (4/5 x^4) is (1024x^3)/(625)

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\frac{d}{d x} ((\frac{4}{5} x)^{4})

\frac{1024 x ^{3}}{625}

Solution steps

\frac{d}{d x} ((\frac{4}{5} x)^{4})

Apply the chain rule:

4 (\frac{4}{5} x)^{3} \frac{d}{d x} (\frac{4}{5} x)

= 4 (\frac{4}{5} x)^{3} \frac{d}{d x} (\frac{4}{5} x)

\frac{d}{d x} (\frac{4}{5} x) = \frac{4}{5}

= 4 (\frac{4}{5} x)^{3} \frac{4}{5}

Simplify

4 (\frac{4}{5} x)^{3} \frac{4}{5} : \frac{1024 x ^{3}}{625}

= \frac{1024 x ^{3}}{625}

\int_{0}^{3} π (4 3 y)^{2} d y

5^{4 x}

\frac{d}{d x} ((7 x^{4} + 10)^{5})

x y^{^{'}} + 2 y - 6 = 0

\frac{d}{d y} (\frac{1}{x - y})

What is the derivative of (4/5 x^4) ?
The derivative of (4/5 x^4) is (1024x^3)/(625)
What is the first derivative of (4/5 x^4) ?
The first derivative of (4/5 x^4) is (1024x^3)/(625)