What is the derivative of y=(3/5 x)^4 ?

The derivative of y=(3/5 x)^4 is (324x^3)/(625)

What is the first derivative of y=(3/5 x)^4 ?

The first derivative of y=(3/5 x)^4 is (324x^3)/(625)

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derivative of

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

\frac{324 x ^{3}}{625}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

4 (\frac{3}{5} x)^{3} \frac{3}{5} : \frac{324 x ^{3}}{625}

= \frac{324 x ^{3}}{625}

f (x) = ln (7 x)

\frac{\partial}{\partial z} (\frac{y}{1 + x ^{2} y ^{2}})

x^{9} sin (x)

(x - 5) (5 x + 3)

x^{- 4}

What is the derivative of y=(3/5 x)^4 ?
The derivative of y=(3/5 x)^4 is (324x^3)/(625)
What is the first derivative of y=(3/5 x)^4 ?
The first derivative of y=(3/5 x)^4 is (324x^3)/(625)