Solve (6h-6)+(-4h-5)

$$( 6 h - 6 ) + ( - 4 h - 5 )$$

Evaluate

$$2h-11$$

Solution Steps

Combine 6h and -4h to get 2h.

$$2h-6-5$$

Subtract 5 from -6 to get -11.

$$2h-11$$

Differentiate w.r.t. h

$$2$$

Steps Using Derivative Rule for Sum

Combine 6h and -4h to get 2h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(2h-6-5)$$

Subtract 5 from -6 to get -11.

$$\frac{\mathrm{d}}{\mathrm{d}h}(2h-11)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2h^{1-1}$$

Subtract 1 from 1.

$$2h^{0}$$

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

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$