Solve 9^4+7a^2+16

$$9 ^ { 4 } + 7 a ^ { 2 } + 16$$

Evaluate

$$7a^{2}+6577$$

Solution Steps

Calculate 9 to the power of 4 and get 6561.

$$6561+7a^{2}+16$$

Add 6561 and 16 to get 6577.

$$6577+7a^{2}$$

Differentiate w.r.t. a

$$14a$$

Steps Using Derivative Rule for Sum

Calculate 9 to the power of 4 and get 6561.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6561+7a^{2}+16)$$

Add 6561 and 16 to get 6577.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6577+7a^{2})$$

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}.

$$2\times 7a^{2-1}$$

Multiply 2 times 7.

$$14a^{2-1}$$

Subtract 1 from 2.

$$14a^{1}$$

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

$$14a$$