What is the derivative of sqrt(5/2+3/2 x) ?

The derivative of sqrt(5/2+3/2 x) is 3/(2sqrt(2)\sqrt{5+3x)}

What is the first derivative of sqrt(5/2+3/2 x) ?

The first derivative of sqrt(5/2+3/2 x) is 3/(2sqrt(2)\sqrt{5+3x)}

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derivative of

\frac{5}{2} + \frac{3}{2} x

\frac{3}{2 2 5 + 3 x}

Solution steps

\frac{d}{d x} (\frac{5}{2} + \frac{3}{2} x)

Apply the chain rule:

\frac{1}{2 \frac{5}{2} + \frac{3}{2} x} \frac{d}{d x} (\frac{5}{2} + \frac{3}{2} x)

= \frac{1}{2 \frac{5}{2} + \frac{3}{2} x} \frac{d}{d x} (\frac{5}{2} + \frac{3}{2} x)

\frac{d}{d x} (\frac{5}{2} + \frac{3}{2} x) = \frac{3}{2}

= \frac{1}{2 \frac{5}{2} + \frac{3}{2} x} \cdot \frac{3}{2}

Simplify

\frac{1}{2 \frac{5}{2} + \frac{3}{2} x} \cdot \frac{3}{2} : \frac{3}{2 2 5 + 3 x}

= \frac{3}{2 2 5 + 3 x}

\frac{d}{d x} (\frac{1}{( x - 7 ) ^{2}})

\int \frac{cos ( ln ( x ) )}{3 x} d x

f (x) = tan (4) x^{3}

y = (x)^{5 x}

\int 9 (3 x - 2)^{2} d x

What is the derivative of sqrt(5/2+3/2 x) ?
The derivative of sqrt(5/2+3/2 x) is 3/(2sqrt(2)\sqrt{5+3x)}
What is the first derivative of sqrt(5/2+3/2 x) ?
The first derivative of sqrt(5/2+3/2 x) is 3/(2sqrt(2)\sqrt{5+3x)}