What is the derivative of f(x)=(3x-2)^4 ?

The derivative of f(x)=(3x-2)^4 is 12(3x-2)^3

What is the first derivative of f(x)=(3x-2)^4 ?

The first derivative of f(x)=(3x-2)^4 is 12(3x-2)^3

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derivative of

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

12 (3 x - 2)^{3}

Solution steps

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

Apply the chain rule:

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

= 4 (3 x - 2)^{3} \frac{d}{d x} (3 x - 2)

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

= 4 (3 x - 2)^{3} \cdot 3

Simplify

= 12 (3 x - 2)^{3}

\int cos (2 x) - 1 d x

\frac{d y}{d x} = \frac{( x - y )}{( x + 2 y )}

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

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

g (x) = 3 e^{x} x

What is the derivative of f(x)=(3x-2)^4 ?
The derivative of f(x)=(3x-2)^4 is 12(3x-2)^3
What is the first derivative of f(x)=(3x-2)^4 ?
The first derivative of f(x)=(3x-2)^4 is 12(3x-2)^3