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Popular >

derivative of 1-3/y+x

Solution

\frac{d}{d x} (1 - \frac{3}{y} + x)

Solution

\frac{3 \frac{d y}{d x}}{y ^{2}} + 1

Solution steps

\frac{d}{d x} (1 - \frac{3}{y} + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (\frac{3}{y}) + \frac{d x}{d x}

\frac{d}{d x} (1) = 0

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

\frac{d x}{d x} = 1

= 0 - (- \frac{3 \frac{d y}{d x}}{y ^{2}}) + 1

Simplify

= \frac{3 \frac{d y}{d x}}{y ^{2}} + 1

Popular Examples

integral from 0 to 1 of 2sqrt(x)-2x

\int_{0}^{1} 2 x - 2 x d x

integral of (x^3-1)/(x^4-4x+1)

\int \frac{x ^{3} - 1}{x ^{4} - 4 x + 1} d x

(dy)/(dx)+(3/x)y=-2x-7

\frac{d y}{d x} + (\frac{3}{x}) y = - 2 x - 7

area 3sin(x),4cos(x),[0,0.8pi]area

3 sin (x), 4 cos (x), [0, 0.8 π]

derivative of-4sec^2(x+6sec^4(x))

\frac{d}{d x} (- 4 sec^{2} (x) + 6 sec^{4} (x))

Frequently Asked Questions (FAQ)

What is the derivative of 1-3/y+x ?
The derivative of 1-3/y+x is (3\frac{dy)/(dx)}{y^2}+1
What is the first derivative of 1-3/y+x ?
The first derivative of 1-3/y+x is (3\frac{dy)/(dx)}{y^2}+1