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

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

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

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

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

- 10 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5) = 0

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

= 0 - 10 x

Simplify

= - 10 x

6 y^{^{''}} - 6 y^{^{'}} + 75 y = 0

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (2) = 0

ln (ln (7 x))

\int \frac{cos ( 6 x )}{sin ( 6 x )} d x

\frac{\partial}{\partial x} (- 2 e^{- x^{2}} x)