What is the derivative of 5x^2-2 ?

The derivative of 5x^2-2 is 10x

What is the first derivative of 5x^2-2 ?

The first derivative of 5x^2-2 is 10x

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\frac{d}{d x} (5 x^{2} - 2)

10 x

Solution steps

\frac{d}{d x} (5 x^{2} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (2)

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (2) = 0

= 10 x - 0

Simplify

= 10 x

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

f (x) = 7 x - x^{2}, at x = 1

(sin (2 t))^{^{'}}

\int_{0}^{π} 5 x^{2} sin (\frac{1}{2} x) d x

x \to 1 lim (9 x + 5)