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

The derivative of (3/5 x)^5 is (243x^4)/(625)

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

The first derivative of (3/5 x)^5 is (243x^4)/(625)

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derivative of

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

\frac{243 x ^{4}}{625}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

5 (\frac{3}{5} x)^{4} \frac{3}{5} : \frac{243 x ^{4}}{625}

= \frac{243 x ^{4}}{625}

\frac{1}{9 x}

\int \frac{37 x + 5}{( 6 x + 1 ) ( x - 1 )} d x

f (x) = x \cdot ln (x)

\frac{\partial}{\partial x} (x^{8} + 6 x y^{7})

6 + \frac{1}{x ^{2}}

What is the derivative of (3/5 x)^5 ?
The derivative of (3/5 x)^5 is (243x^4)/(625)
What is the first derivative of (3/5 x)^5 ?
The first derivative of (3/5 x)^5 is (243x^4)/(625)