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

The derivative of 5/2 x^2 is 5x

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

The first derivative of 5/2 x^2 is 5x

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

5 x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{5}{2} \cdot 2 x^{2 - 1}

Simplify

\frac{5}{2} \cdot 2 x^{2 - 1} : 5 x

= 5 x

y = - \frac{6}{x}, at x = - 4

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

n = 5 \sum \infty e^{3 - 4 n}

y^{^{''}} + 4 π^{2} y = cos^{3} (2 π x)

\int 2 x I n x^{2} d x