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

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

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

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

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

- 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 6 x

Simplify

= - 6 x

\frac{\partial}{\partial y} (x^{\frac{3}{4}} y^{\frac{1}{4}})

y = x^{2}, y = 4

f (t) = e^{5 t s i n (2 t)}

x \to 2 lim (3 x^{4} + 4 x^{3} - x + 2)

4 y^{^{''}} - 4 y^{^{'}} + 13 y = 0