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

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

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

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

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

5 x

Solution steps

\frac{d}{d x} (\frac{5 x ^{2}}{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) d x - 4 (x + y^{6}) d y = 0

f (x) = 3 - 4 x^{2}, (4, - 61)

5 cos (t)

\frac{d}{d x} (3 e^{x} sin (x))

y^{^{''}} + 16 y = - 16 sec^{2} (4 x)

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