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

The derivative of (5-3x^3) is -9(5-3x)^2

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

The first derivative of (5-3x^3) is -9(5-3x)^2

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

- 9 (5 - 3 x)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 9 (5 - 3 x)^{2}

e^{6 e^{x}}

\int_{0}^{1} (2 x - 2 x^{2}) d x

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

\int \frac{2 x + 3}{x} d x

f (x) = 4 - x^{2}, (- 1, 3)

What is the derivative of (5-3x^3) ?
The derivative of (5-3x^3) is -9(5-3x)^2
What is the first derivative of (5-3x^3) ?
The first derivative of (5-3x^3) is -9(5-3x)^2