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Popular >

derivative of 2cos(x-3ln(x)-1)

Solution

\frac{d}{d x} (2 cos (x) - 3 ln (x) - 1)

Solution

- \frac{3}{x} - 2 sin (x)

Solution steps

\frac{d}{d x} (2 cos (x) - 3 ln (x) - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 cos (x)) - \frac{d}{d x} (3 ln (x)) - \frac{d}{d x} (1)

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

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

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

= - 2 sin (x) - \frac{3}{x} - 0

Simplify

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

Popular Examples

implicit (dy)/(dx),y^4=2x implicit derivative

\frac{d y}{d x}, y^{4} = 2 x

integral from 0 to infinity of xye^{-yx}

\int_{0}^{\infty} x y e^{- y x} d x

derivative of (14)/(2x+16)derivative of

\frac{14}{2 x + 16}

xy^3dy=dx,y(1)=2

x y^{3} d y = d x, y (1) = 2

integral of (x^3-3x^2+2x-4)/(x-1)

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

Frequently Asked Questions (FAQ)

What is the derivative of 2cos(x-3ln(x)-1) ?
The derivative of 2cos(x-3ln(x)-1) is -3/x-2sin(x)
What is the first derivative of 2cos(x-3ln(x)-1) ?
The first derivative of 2cos(x-3ln(x)-1) is -3/x-2sin(x)