What is the derivative of f(x)=(2-3x)^3 ?

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

What is the first derivative of f(x)=(2-3x)^3 ?

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int sin (x) - 4 cos (x) + 1 d x

\int g \cdot \frac{m}{k} (1 - e^{- \frac{k}{m} \cdot t}) d t

x \to \frac{5 π}{3} lim (cos (x))

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

\int x^{2} cos (x^{3} + 1) d x

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