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Popular >

derivative of sqrt(x-2)+sqrt(y-1)

Solution

\frac{d}{d x} (x - 2 + y - 1)

Solution

\frac{1}{2 x - 2} + \frac{\frac{d y}{d x}}{2 y - 1}

Solution steps

\frac{d}{d x} (x - 2 + y - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x - 2) + \frac{d}{d x} (y - 1)

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

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

= \frac{1}{2 x - 2} + \frac{\frac{d y}{d x}}{2 y - 1}

Popular Examples

limit as x approaches 1+of (x+10)/(1-x)

x \to 1 + lim (\frac{x + 10}{1 - x})

tangent of x^2+xy+y^2=3,(1,1)tangent of

x^{2} + x y + y^{2} = 3, (1, 1)

limit as x approaches 7 of ((x^2-5x-14))/(x-7)

x \to 7 lim (\frac{( x ^{2} - 5 x - 14 )}{x - 7})

y^'+1/(200+t)y=0,y(0)=60

y^{^{'}} + \frac{1}{200 + t} y = 0, y (0) = 60

integral of (4x^2sin(2x))/9

\int \frac{4 x ^{2} sin ( 2 x )}{9} d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x-2)+sqrt(y-1) ?
The derivative of sqrt(x-2)+sqrt(y-1) is 1/(2sqrt(x-2))+(\frac{dy)/(dx)}{2sqrt(y-1)}
What is the first derivative of sqrt(x-2)+sqrt(y-1) ?
The first derivative of sqrt(x-2)+sqrt(y-1) is 1/(2sqrt(x-2))+(\frac{dy)/(dx)}{2sqrt(y-1)}