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Popular >

derivative of 2sin(2x-ln(3x+1))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 sin (2 x)) = 4 cos (2 x)

\frac{d}{d x} (ln (3 x + 1)) = \frac{3}{3 x + 1}

= 4 cos (2 x) - \frac{3}{3 x + 1}

Graph

Popular Examples

integral of (8ln(x))/(x^2)

\int \frac{8 ln ( x )}{x ^{2}} d x

derivative of ((40x^5)/(e^x))

\frac{d}{d x} (\frac{( 40 x ^{5} )}{e ^{x}})

t^2(dy)/(dt)-t=1+y+ty,y(1)=4

t^{2} \frac{d y}{d t} - t = 1 + y + t y, y (1) = 4

(\partial)/(\partial x)(xln(xy))

\frac{\partial}{\partial x} (x ln (x y))

integral of 4/(x^2+9)

\int \frac{4}{x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2sin(2x-ln(3x+1)) ?
The derivative of 2sin(2x-ln(3x+1)) is 4cos(2x)-3/(3x+1)
What is the first derivative of 2sin(2x-ln(3x+1)) ?
The first derivative of 2sin(2x-ln(3x+1)) is 4cos(2x)-3/(3x+1)