What is the derivative of 1/3 (3-5x)^3 ?

The derivative of 1/3 (3-5x)^3 is -5(3-5x)^2

What is the first derivative of 1/3 (3-5x)^3 ?

The first derivative of 1/3 (3-5x)^3 is -5(3-5x)^2

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derivative of

\frac{1}{3} (3 - 5 x)^{3}

- 5 (3 - 5 x)^{2}

Solution steps

\frac{d}{d x} (\frac{1}{3} (3 - 5 x)^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} ((3 - 5 x)^{3})

Apply the chain rule:

3 (3 - 5 x)^{2} \frac{d}{d x} (3 - 5 x)

= 3 (3 - 5 x)^{2} \frac{d}{d x} (3 - 5 x)

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

= \frac{1}{3} \cdot 3 (3 - 5 x)^{2} (- 5)

Simplify

\frac{1}{3} \cdot 3 (3 - 5 x)^{2} (- 5) : - 5 (3 - 5 x)^{2}

= - 5 (3 - 5 x)^{2}

y y^{^{'}} + 4 x = 0

x \to 2 lim (\frac{x ^{3} + 8}{x + 2})

\int x^{2 x} (ln (x) + 1) d x

\frac{d}{d t} (2 t^{2})

x \to - 8 - lim (x^{2} + \frac{9}{x + 8})

What is the derivative of 1/3 (3-5x)^3 ?
The derivative of 1/3 (3-5x)^3 is -5(3-5x)^2
What is the first derivative of 1/3 (3-5x)^3 ?
The first derivative of 1/3 (3-5x)^3 is -5(3-5x)^2