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Popular >

(\partial}{\partial s}(\frac{s-r)/t)

Solution

\frac{\partial}{\partial s} (\frac{s - r}{t})

Solution

\frac{1}{t}

Solution steps

\frac{\partial}{\partial s} (\frac{s - r}{t})

Treat

r, t

as constants

Take the constant out:

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

= \frac{1}{t} \frac{\partial}{\partial s} (s - r)

Apply the Sum/Difference Rule:

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

= \frac{1}{t} (\frac{\partial}{\partial s} (s) - \frac{\partial}{\partial s} (r))

\frac{\partial}{\partial s} (s) = 1

\frac{\partial}{\partial s} (r) = 0

= \frac{1}{t} (1 - 0)

Simplify

= \frac{1}{t}

Popular Examples

derivative of x/(2-sqrt(x))

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

slope of x^2+y^2=25 slope

x^{2} + y^{2} = 25

integral of 8/((x^2+1)^{3/2)}

\int \frac{8}{( x ^{2} + 1 ) ^{\frac{3}{2}}} d x

x^2(dy)/(dx)+2xy=5y^4

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{4}

integral of (sqrt(x))/4

\int \frac{x}{4} d x

Frequently Asked Questions (FAQ)

What is (\partial}{\partial s}(\frac{s-r)/t) ?
The answer to (\partial}{\partial s}(\frac{s-r)/t) is 1/t