What is the derivative of f(x)=(x-1)^2-2 ?

The derivative of f(x)=(x-1)^2-2 is 2x-2

What is the first derivative of f(x)=(x-1)^2-2 ?

The first derivative of f(x)=(x-1)^2-2 is 2x-2

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derivative of

f (x) = (x - 1)^{2} - 2

2 x - 2

Solution steps

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

Simplify

(x - 1)^{2} - 2 : x^{2} - 2 x - 1

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

\frac{d}{d x} (1) = 0

= 2 x - 2 - 0

Simplify

= 2 x - 2

\frac{\partial}{\partial x} (2 y e^{7 x})

x \to 0 lim (tan^{x} (6 x))

\int (3 x)^{5} (3 x)^{3} + 1 d x

f (x) = \frac{98}{x ^{3}}

\int_{0}^{5} - 6 x d x

What is the derivative of f(x)=(x-1)^2-2 ?
The derivative of f(x)=(x-1)^2-2 is 2x-2
What is the first derivative of f(x)=(x-1)^2-2 ?
The first derivative of f(x)=(x-1)^2-2 is 2x-2