What is the derivative of 15-x^2 ?

The derivative of 15-x^2 is -2x

What is the first derivative of 15-x^2 ?

The first derivative of 15-x^2 is -2x

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\frac{d}{d x} (15 - x^{2})

- 2 x

Solution steps

\frac{d}{d x} (15 - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (15) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (15) = 0

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

= 0 - 2 x

Simplify

= - 2 x

\int \frac{- 7 x - 7}{2 x ^{2} + 5 x - 3} d x

t \to 0 lim (\frac{( 5 e ^{t} - 5 )}{t})

\frac{d}{d x} (lo g_{10} (1 + cos (x)))

\frac{d}{d x} (ln (\frac{7}{x ^{2} - x + 2}))

y^{^{''}} - 8 y^{^{'}} + 13 y = 0, y (0) = 0, y^{^{'}} (0) = 5