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Popular >

derivative of (3x-7/(2x+4))

Solution

\frac{d}{d x} (\frac{3 x - 7}{2 x + 4})

Solution

\frac{13}{2 ( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3 x - 7}{2 x + 4})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 3 x - 7 ) ( 2 x + 4 ) - \frac{d}{d x} ( 2 x + 4 ) ( 3 x - 7 )}{( 2 x + 4 ) ^{2}}

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

\frac{d}{d x} (2 x + 4) = 2

= \frac{3 ( 2 x + 4 ) - 2 ( 3 x - 7 )}{( 2 x + 4 ) ^{2}}

Simplify

\frac{3 ( 2 x + 4 ) - 2 ( 3 x - 7 )}{( 2 x + 4 ) ^{2}} : \frac{13}{2 ( x + 2 ) ^{2}}

= \frac{13}{2 ( x + 2 ) ^{2}}

Graph

Popular Examples

derivative of f(x)=(7+tan(x))/(5-tan(x))derivative of

f (x) = \frac{7 + tan ( x )}{5 - tan ( x )}

(\partial)/(\partial x)(-3ycos(3x))

\frac{\partial}{\partial x} (- 3 y cos (3 x))

(xy^2-3y)dx+(x^2y-3x)dy=0

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

integral of (1-x)/(3e^x)

\int \frac{1 - x}{3 e ^{x}} d x

limit as x approaches 3 of x^2-4

x \to 3 lim (x^{2} - 4)

Frequently Asked Questions (FAQ)

What is the derivative of (3x-7/(2x+4)) ?
The derivative of (3x-7/(2x+4)) is (13)/(2(x+2)^2)
What is the first derivative of (3x-7/(2x+4)) ?
The first derivative of (3x-7/(2x+4)) is (13)/(2(x+2)^2)