What is the derivative of e^xsqrt((x^2+1))-2-x ?

The derivative of e^xsqrt((x^2+1))-2-x is (e^xx)/(sqrt(x^2+1))+e^xsqrt(x^2+1)-1

What is the first derivative of e^xsqrt((x^2+1))-2-x ?

The first derivative of e^xsqrt((x^2+1))-2-x is (e^xx)/(sqrt(x^2+1))+e^xsqrt(x^2+1)-1

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derivative of

e^{x} (x^{2} + 1) - 2 - x

\frac{e ^{x} x}{x ^{2} + 1} + e^{x} x^{2} + 1 - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

\frac{d x}{d x} = 1

= e^{x} x^{2} + 1 + \frac{e ^{x} x}{x ^{2} + 1} - 0 - 1

Simplify

= \frac{e ^{x} x}{x ^{2} + 1} + e^{x} x^{2} + 1 - 1

y = 2^{x}

\frac{\partial}{\partial z} (3 x z^{3} e^{y^{2}})

\frac{\partial}{\partial z} (x z + x yz)

\int (x^{11} e^{x^{12}}) d x

\int \frac{3 x ^{2} + 2}{x ^{2}} d x

What is the derivative of e^xsqrt((x^2+1))-2-x ?
The derivative of e^xsqrt((x^2+1))-2-x is (e^xx)/(sqrt(x^2+1))+e^xsqrt(x^2+1)-1
What is the first derivative of e^xsqrt((x^2+1))-2-x ?
The first derivative of e^xsqrt((x^2+1))-2-x is (e^xx)/(sqrt(x^2+1))+e^xsqrt(x^2+1)-1