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Popular >

d/(dy)((y^{3/2})/5)

Solution

\frac{d}{d y} (\frac{y ^{\frac{3}{2}}}{5})

Solution

\frac{3 y ^{\frac{1}{2}}}{10}

Solution steps

\frac{d}{d y} (\frac{y ^{\frac{3}{2}}}{5})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d y} (y^{\frac{3}{2}})

Apply the Power Rule:

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

= \frac{1}{5} \cdot \frac{3}{2} y^{\frac{3}{2} - 1}

Simplify

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

= \frac{3 y ^{\frac{1}{2}}}{10}

Popular Examples

integral of ((x^2+1-2x)^{1/5})/(1-x)

\int \frac{( x ^{2} + 1 - 2 x ) ^{\frac{1}{5}}}{1 - x} d x

integral of (x^6)/(sqrt(1-x^{14))}

\int \frac{x ^{6}}{1 - x ^{14}} d x

integral of 3cot^4(x)

\int 3 cot^{4} (x) d x

derivative of 5x-1

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

tangent of f(x)=x^2-3x,\at x=1 tangent of

f (x) = x^{2} - 3 x, at x = 1

Frequently Asked Questions (FAQ)

What is the d/(dy)((y^{3/2})/5) ?
The d/(dy)((y^{3/2})/5) is (3y^{1/2})/(10)
What is the first d/(dy)((y^{3/2})/5) ?
The first d/(dy)((y^{3/2})/5) is (3y^{1/2})/(10)