Solve 2a-3b+7a+3b=

$$2 a - 3 b + 7 a + 3 b =$$

Evaluate

$$9a$$

Solution Steps

Combine 2a and 7a to get 9a.

$$9a-3b+3b$$

Combine -3b and 3b to get 0.

$$9a$$

Differentiate w.r.t. a

$$9$$

Steps Using Definition of a Derivative

Combine 2a and 7a to get 9a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a-3b+3b)$$

Combine -3b and 3b to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a)$$

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

$$9a^{1-1}$$

Subtract 1 from 1.

$$9a^{0}$$

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

$$9\times 1$$

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

$$9$$