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Popular >

derivative of y-1/((x+3))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

Simplify

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

Popular Examples

derivative of (500)/(5t^2+10t+100)derivative of

\frac{500}{5 t ^{2} + 10 t + 100}

integral of (1/x)/(ln(x)sqrt(ln^2(x)-1))

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

(dy)/(dx)-7y=e^x

\frac{d y}{d x} - 7 y = e^{x}

integral of x/(x^2-2x+2)

\int \frac{x}{x ^{2} - 2 x + 2} d x

limit as x approaches 5+of (3x)/4+1

x \to 5 + lim (\frac{3 x}{4} + 1)

Frequently Asked Questions (FAQ)

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