What is the derivative of 5x^2-1 ?

The derivative of 5x^2-1 is 10x

What is the first derivative of 5x^2-1 ?

The first derivative of 5x^2-1 is 10x

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\frac{d}{d x} (5 x^{2} - 1)

10 x

Solution steps

\frac{d}{d x} (5 x^{2} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= 10 x - 0

Simplify

= 10 x

\frac{d N}{d t} + N = Nt e^{(t + 2)}

n = 1 \sum \infty \frac{n !}{2 n - 1}

y^{^{'}} = \frac{5}{y + 2}

\frac{d}{d x} ((5 x^{6} + 8 x^{3})^{4})

\int csc (3 x) cot (3 x) d x