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Popular >

derivative of 4ln(x+2cos(x)+x^4)

Solution

\frac{d}{d x} (4 ln (x) + 2 cos (x) + x^{4})

Solution

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

Solution steps

\frac{d}{d x} (4 ln (x) + 2 cos (x) + x^{4})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 ln (x)) = \frac{4}{x}

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

Popular Examples

tangent of f(x)=5x^2-5x,\at x=3 tangent of

f (x) = 5 x^{2} - 5 x, at x = 3

integral of (arctan(x/2))/(4+x^2)

\int \frac{arctan ( \frac{x}{2} )}{4 + x ^{2}} d x

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

integral of (cosh(x))^3

\int (cosh (x))^{3} d x

(\partial}{\partial x}(x^{1/2}+\frac{Y(x))/2)

\frac{\partial}{\partial x} (x^{\frac{1}{2}} + \frac{Y ( x )}{2})

Frequently Asked Questions (FAQ)

What is the derivative of 4ln(x+2cos(x)+x^4) ?
The derivative of 4ln(x+2cos(x)+x^4) is 4/x-2sin(x)+4x^3
What is the first derivative of 4ln(x+2cos(x)+x^4) ?
The first derivative of 4ln(x+2cos(x)+x^4) is 4/x-2sin(x)+4x^3