Solve (16*3)*2a-17

$$( 16 \times 3 ) \times 2 a - 17$$

Evaluate

$$96a-17$$

Solution Steps

Multiply 16 and 3 to get 48.

$$48\times 2a-17$$

Multiply 48 and 2 to get 96.

$$96a-17$$

Differentiate w.r.t. a

$$96$$

Steps Using Derivative Rule for Sum

Multiply 16 and 3 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}a}(48\times 2a-17)$$

Multiply 48 and 2 to get 96.

$$\frac{\mathrm{d}}{\mathrm{d}a}(96a-17)$$

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}.

$$96a^{1-1}$$

Subtract 1 from 1.

$$96a^{0}$$

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

$$96\times 1$$

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

$$96$$