What is the derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) ?

The derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) is 3xsqrt(x^2+1)

What is the first derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) ?

The first derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) is 3xsqrt(x^2+1)

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Popular >

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

3 x x^{2} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

\frac{x}{1 + x ^{2}} + \frac{3 x ^{3} + 2 x}{1 + x ^{2}} : 3 x x^{2} + 1

= 3 x x^{2} + 1

\int (5 e^{2 x} + \frac{1}{x}) d x

\frac{d}{d x} (sin (k t))

f (x) = (5 + 2 x) e^{- 3 x}

\frac{d}{d x} (2 \cdot e^{2 x})

\int_{3}^{4} \frac{1}{sin ( x )} d x

What is the derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) ?
The derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) is 3xsqrt(x^2+1)
What is the first derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) ?
The first derivative of sqrt(1+x^2)+x^2sqrt(1+x^2) is 3xsqrt(x^2+1)