What is the derivative of f(x)= 1/2 x^2-2x+6 ?

The derivative of f(x)= 1/2 x^2-2x+6 is x-2

What is the first derivative of f(x)= 1/2 x^2-2x+6 ?

The first derivative of f(x)= 1/2 x^2-2x+6 is x-2

Popular >

derivative of

f (x) = \frac{1}{2} x^{2} - 2 x + 6

x - 2

Solution steps

\frac{d}{d x} (\frac{1}{2} x^{2} - 2 x + 6)

Simplify

\frac{1}{2} x^{2} - 2 x + 6 : \frac{x ^{2}}{2} - 2 x + 6

= \frac{d}{d x} (\frac{x ^{2}}{2} - 2 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (6)

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

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

\frac{d}{d x} (6) = 0

= x - 2 + 0

Simplify

= x - 2

x \cdot \frac{d y}{d x} = 2 y

\int (csc (x) - tan (x))^{2} d x

\int_{2}^{6} t^{2} ln (2 t) d t

y = \frac{7 x}{x - 3}, (6, 14)

What is the derivative of f(x)= 1/2 x^2-2x+6 ?
The derivative of f(x)= 1/2 x^2-2x+6 is x-2
What is the first derivative of f(x)= 1/2 x^2-2x+6 ?
The first derivative of f(x)= 1/2 x^2-2x+6 is x-2