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Popular >

derivative of sqrt(3/2 x-5)

Solution

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

Solution

\frac{3}{2 2 3 x - 10}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 \frac{3}{2} x - 5} \cdot \frac{3}{2} : \frac{3}{2 2 3 x - 10}

= \frac{3}{2 2 3 x - 10}

Popular Examples

derivative of \sqrt[9]{x^8}-x^pi derivative of

limit as x approaches 0 of (|6x|)/(3x)

x \to 0 lim (\frac{∣ 6 x ∣}{3 x})

y^{'''}-2y^{''}+2y^'=0

y^{^{'''}} - 2 y^{^{''}} + 2 y^{^{'}} = 0

derivative of 7x^2-4x

\frac{d}{d x} (7 x^{2} - 4 x)

derivative of f(x)=(x^5-5x^2)/(2x^5+5x)derivative of

f (x) = \frac{x ^{5} - 5 x ^{2}}{2 x ^{5} + 5 x}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3/2 x-5) ?
The derivative of sqrt(3/2 x-5) is 3/(2sqrt(2)\sqrt{3x-10)}
What is the first derivative of sqrt(3/2 x-5) ?
The first derivative of sqrt(3/2 x-5) is 3/(2sqrt(2)\sqrt{3x-10)}