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Popular Calculus >

derivative of (x^2+3/2)

Solution

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

Solution

x

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (x^{2} + 3)

Apply the Sum/Difference Rule:

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

= \frac{1}{2} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (3))

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

\frac{d}{d x} (3) = 0

= \frac{1}{2} (2 x + 0)

Simplify

\frac{1}{2} (2 x + 0) : x

= x

Graph

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y^{''}+1/4 y=0,y(pi)=1,y^'(pi)=-3

y^{^{''}} + \frac{1}{4} y = 0, y (π) = 1, y^{^{'}} (π) = - 3

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Frequently Asked Questions (FAQ)

What is the derivative of (x^2+3/2) ?
The derivative of (x^2+3/2) is x
What is the first derivative of (x^2+3/2) ?
The first derivative of (x^2+3/2) is x