Solve (1+h^2-1/1+h-1

$$\frac{ (1+ { h }^{ 2 } -1 }{ 1+h-1 }$$

Evaluate

$$h$$

Solution Steps

Subtract 1 from 1 to get 0.

$$\frac{h^{2}}{1+h-1}$$

Subtract 1 from 1 to get 0.

$$\frac{h^{2}}{h}$$

Cancel out h in both numerator and denominator.

$$h$$

Differentiate w.r.t. h

$$1$$

Steps Using Definition of a Derivative

Subtract 1 from 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{h^{2}}{1+h-1})$$

Subtract 1 from 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{h^{2}}{h})$$

Cancel out h in both numerator and denominator.

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

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

$$h^{1-1}$$

Subtract 1 from 1.

$$h^{0}$$

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

$$1$$