Solve x^5+x^3/x^4+x^2=

$$\frac { x ^ { 5 } + x ^ { 3 } } { x ^ { 4 } + x ^ { 2 } } =$$

Evaluate

$$x$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(x^{2}+1\right)x^{3}}{x^{2}\left(x^{2}+1\right)}$$

Cancel out x^{2}\left(x^{2}+1\right) in both numerator and denominator.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Factor the expressions that are not already factored in \frac{x^{5}+x^{3}}{x^{4}+x^{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x^{2}+1\right)x^{3}}{x^{2}\left(x^{2}+1\right)})$$

Cancel out x^{2}\left(x^{2}+1\right) in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$