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Popular >

derivative of x^2+1/(2x-3x)

Solution

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

Solution

2 x - \frac{1}{2 x ^{2}} - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

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

= 2 x - \frac{1}{2 x ^{2}} - 3

Popular Examples

sum from n=0 to infinity of 1/(2(2)^n)

n = 0 \sum \infty \frac{1}{2 ( 2 ) ^{n}}

integral of tan^2(6t)

\int tan^{2} (6 t) d t

derivative of x^{3/7}derivative of

x^{\frac{3}{7}}

(dy}{dx}+\frac{4y)/x =-3x

\frac{d y}{d x} + \frac{4 y}{x} = - 3 x

integral of (2x+1)e^{3x}

\int (2 x + 1) e^{3 x} d x

Frequently Asked Questions (FAQ)

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