What is the derivative of 50ln(2x+1)-x/2 ?

The derivative of 50ln(2x+1)-x/2 is (100)/(2x+1)-1/2

What is the first derivative of 50ln(2x+1)-x/2 ?

The first derivative of 50ln(2x+1)-x/2 is (100)/(2x+1)-1/2

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derivative of

50 ln (2 x + 1) - \frac{x}{2}

\frac{100}{2 x + 1} - \frac{1}{2}

Solution steps

\frac{d}{d x} (50 ln (2 x + 1) - \frac{x}{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (50 ln (2 x + 1)) - \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (50 ln (2 x + 1)) = \frac{100}{2 x + 1}

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= \frac{100}{2 x + 1} - \frac{1}{2}

\int_{5}^{\infty} \frac{2}{x ^{3}} d x

\frac{5 s + 2}{( s + 1 ) ( s + 2 ) ^{2}}

\int - 10 x^{\frac{2}{3}} d x

\int (x - 6)^{2} d x

2 x^{2}, 4 - 2 x, - 2, 2

What is the derivative of 50ln(2x+1)-x/2 ?
The derivative of 50ln(2x+1)-x/2 is (100)/(2x+1)-1/2
What is the first derivative of 50ln(2x+1)-x/2 ?
The first derivative of 50ln(2x+1)-x/2 is (100)/(2x+1)-1/2