What is the derivative of (sqrt(x^2+4))/3+(11-x)/4 ?

The derivative of (sqrt(x^2+4))/3+(11-x)/4 is x/(3sqrt(x^2+4))-1/4

What is the first derivative of (sqrt(x^2+4))/3+(11-x)/4 ?

The first derivative of (sqrt(x^2+4))/3+(11-x)/4 is x/(3sqrt(x^2+4))-1/4

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derivative of

\frac{x ^{2} + 4}{3} + \frac{11 - x}{4}

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

Solution steps

\frac{d}{d x} (\frac{x ^{2} + 4}{3} + \frac{11 - x}{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2} + 4}{3}) + \frac{d}{d x} (\frac{11 - x}{4})

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

\frac{d}{d x} (\frac{11 - x}{4}) = - \frac{1}{4}

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

\int_{0}^{2} 5 x^{2} d x

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x \to 4 lim (4 x)

What is the derivative of (sqrt(x^2+4))/3+(11-x)/4 ?
The derivative of (sqrt(x^2+4))/3+(11-x)/4 is x/(3sqrt(x^2+4))-1/4
What is the first derivative of (sqrt(x^2+4))/3+(11-x)/4 ?
The first derivative of (sqrt(x^2+4))/3+(11-x)/4 is x/(3sqrt(x^2+4))-1/4