What is the derivative of 3x^2-10 ?

The derivative of 3x^2-10 is 6x

What is the first derivative of 3x^2-10 ?

The first derivative of 3x^2-10 is 6x

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\frac{d}{d x} (3 x^{2} - 10)

6 x

Solution steps

\frac{d}{d x} (3 x^{2} - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (10)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (10) = 0

= 6 x - 0

Simplify

= 6 x

x^{2} y^{^{''}} - 7 x y^{^{'}} + 15 y = 0, y (1) = 0, y^{^{'}} (1) = 2

\frac{d}{d x} (\frac{x}{x ^{4} + 4})

\frac{d}{d x} (\frac{x ^{4}}{5 - x ^{3}})

f (x) = ln (5 + ln (x))

3 t e^{- t}