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Popular >

derivative of cos(x+2x^2+1)

Solution

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

Solution

4 x - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

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

\frac{d}{d x} (1) = 0

= - sin (x) + 4 x + 0

Simplify

= 4 x - sin (x)

Popular Examples

inverse oflaplace 1/((s^2-6s+10))inverse laplace

\frac{1}{( s ^{2} - 6 s + 10 )}

(\partial ^2)/(\partial x^2)(e^{3x+4y}cos(5z))

\frac{\partial ^{2}}{\partial x ^{2}} (e^{3 x + 4 y} cos (5 z))

inverse oflaplace 2/(5(s+3)^2+125)inverse laplace

\frac{2}{5 ( s + 3 ) ^{2} + 125}

integral of (log_{10}(log_{10}(x)))/x

\int \frac{lo g _{10} ( lo g _{10} ( x ) )}{x} d x

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

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

Frequently Asked Questions (FAQ)

What is the derivative of cos(x+2x^2+1) ?
The derivative of cos(x+2x^2+1) is 4x-sin(x)
What is the first derivative of cos(x+2x^2+1) ?
The first derivative of cos(x+2x^2+1) is 4x-sin(x)