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

The derivative of f(x)=3(x-2)^2 is 6(x-2)

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

The first derivative of f(x)=3(x-2)^2 is 6(x-2)

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derivative of

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

6 (x - 2)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 2) = 1

= 3 \cdot 2 (x - 2) \cdot 1

Simplify

= 6 (x - 2)

x y^{^{'}} + y = x^{4} y^{4}, y (1) = \frac{1}{2}

y = e^{- m x}

3 sin (2 x)

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

x y^{^{''}} + 2 y^{^{'}} = 6 x

What is the derivative of f(x)=3(x-2)^2 ?
The derivative of f(x)=3(x-2)^2 is 6(x-2)
What is the first derivative of f(x)=3(x-2)^2 ?
The first derivative of f(x)=3(x-2)^2 is 6(x-2)