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Popular >

derivative of 2|x-3|-3|x-2|

Solution

\frac{d}{d x} (2 ∣ x - 3 ∣ - 3 ∣ x - 2 ∣)

Solution

\frac{2 ( x - 3 )}{∣ x - 3 ∣} - \frac{3 ( x - 2 )}{∣ x - 2 ∣}

Solution steps

\frac{d}{d x} (2 ∣ x - 3 ∣ - 3 ∣ x - 2 ∣)

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{2 ( x - 3 )}{∣ x - 3 ∣} - \frac{3 ( x - 2 )}{∣ x - 2 ∣}

Graph

Popular Examples

integral of ((2x-1))/((x-1)(x-2))

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

(e^x)/(\frac{dy){dx}}=(1+e^x)y

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

y^{''}-6y^'+25y=50t^3-36t^2-63t+18

y^{^{''}} - 6 y^{^{'}} + 25 y = 50 t^{3} - 36 t^{2} - 63 t + 18

(\partial)/(\partial x)(ln(t))

\frac{\partial}{\partial x} (ln (t))

limit as x approaches+2 of (x-7)/(x+3)

x \to + 2 lim (\frac{x - 7}{x + 3})

Frequently Asked Questions (FAQ)

What is the derivative of 2|x-3|-3|x-2| ?
The derivative of 2|x-3|-3|x-2| is (2(x-3))/(|x-3|)-(3(x-2))/(|x-2|)
What is the first derivative of 2|x-3|-3|x-2| ?
The first derivative of 2|x-3|-3|x-2| is (2(x-3))/(|x-3|)-(3(x-2))/(|x-2|)