Solve h(5)-h(-1)/5-(-1)=

$$\frac { h ( 5 ) - h ( - 1 ) } { 5 - ( - 1 ) } =$$

Evaluate

$$h$$

Solution Steps

Combine h\times 5 and -h\left(-1\right) to get 6h.

$$\frac{6h}{5-\left(-1\right)}$$

The opposite of -1 is 1.

$$\frac{6h}{5+1}$$

Add 5 and 1 to get 6.

$$\frac{6h}{6}$$

Cancel out 6 and 6.

$$h$$

Differentiate w.r.t. h

$$1$$

Steps Using Definition of a Derivative

Combine h\times 5 and -h\left(-1\right) to get 6h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{6h}{5-\left(-1\right)})$$

The opposite of -1 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{6h}{5+1})$$

Add 5 and 1 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{6h}{6})$$

Cancel out 6 and 6.

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

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.

$$1$$