Solve 3a^3-4a^3-11a-3

$$3 a ^ { 3 } - 4 a ^ { 3 } - 11 a - 3$$

Differentiate w.r.t. a

$$-3a^{2}-11$$

Steps Using Derivative Rule for Sum

Combine 3a^{3} and -4a^{3} to get -a^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-a^{3}-11a-3)$$

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}.

$$3\left(-1\right)a^{3-1}-11a^{1-1}$$

Multiply 3 times -1.

$$-3a^{3-1}-11a^{1-1}$$

Subtract 1 from 3.

$$-3a^{2}-11a^{1-1}$$

Subtract 1 from 1.

$$-3a^{2}-11a^{0}$$

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

$$-3a^{2}-11$$

Evaluate

$$-a^{3}-11a-3$$

Solution Steps

Combine 3a^{3} and -4a^{3} to get -a^{3}.

$$-a^{3}-11a-3$$