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Popular >

derivative of 15ln(x+4cos(x)+o)

Solution

\frac{d}{d x} (15 ln (x) + 4 cos (x) + o)

Solution

\frac{15}{x} - 4 sin (x)

Solution steps

\frac{d}{d x} (15 ln (x) + 4 cos (x) + o)

Treat

o

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (15 ln (x)) + \frac{d}{d x} (4 cos (x)) + \frac{d o}{d x}

\frac{d}{d x} (15 ln (x)) = \frac{15}{x}

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

\frac{d o}{d x} = 0

= \frac{15}{x} - 4 sin (x) + 0

Simplify

= \frac{15}{x} - 4 sin (x)

Popular Examples

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\frac{d}{d x} ((4 x^{2} - 3 x) (2 x + 1))

f(x)=2x^2cos(4x)

f (x) = 2 x^{2} cos (4 x)

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

n = 1 \sum \infty \frac{n}{2 n - 1}

derivative of 1-log_{e}(x)derivative of

1 - lo g_{e} (x)

(\partial)/(\partial z)((2x-2z)/(3y+2z))

\frac{\partial}{\partial z} (\frac{2 x - 2 z}{3 y + 2 z})

Frequently Asked Questions (FAQ)

What is the derivative of 15ln(x+4cos(x)+o) ?
The derivative of 15ln(x+4cos(x)+o) is (15)/x-4sin(x)
What is the first derivative of 15ln(x+4cos(x)+o) ?
The first derivative of 15ln(x+4cos(x)+o) is (15)/x-4sin(x)