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Popular >

derivative of 30+1/(x+1-3x^2)

Solution

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

Solution

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

Solution steps

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (30) + \frac{d}{d x} (\frac{1}{x + 1}) - \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (30) = 0

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

\frac{d}{d x} (3 x^{2}) = 6 x

= 0 - \frac{1}{( x + 1 ) ^{2}} - 6 x

Simplify

= - 6 x - \frac{1}{( x + 1 ) ^{2}}

Popular Examples

derivative of 1/(5x^2+2x)

\frac{d}{d x} (\frac{1}{5 x ^{2} + 2 x})

inverse oflaplace (5s+3)/((s-1)(s^2+2s+5))inverse laplace

\frac{5 s + 3}{( s - 1 ) ( s ^{2} + 2 s + 5 )}

(\partial)/(\partial y)(x^2+e^{xy})

\frac{\partial}{\partial y} (x^{2} + e^{x y})

derivative of y=csc^1(e^{8t})derivative of

y = csc^{1} (e^{8 t})

integral of (x^3-7x)

\int (x^{3} - 7 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of 30+1/(x+1-3x^2) ?
The derivative of 30+1/(x+1-3x^2) is -6x-1/((x+1)^2)
What is the first derivative of 30+1/(x+1-3x^2) ?
The first derivative of 30+1/(x+1-3x^2) is -6x-1/((x+1)^2)