Solve -5a^2-10ab-6^2

$$- 5 a ^ { 2 } - 10 a b - 6 ^ { 2 }$$

Differentiate w.r.t. a

$$-10a-10b$$

Steps Using Derivative Rule for Sum

Calculate 6 to the power of 2 and get 36.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-5a^{2}-10ab-36)$$

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}.

$$2\left(-5\right)a^{2-1}+\left(-10b\right)a^{1-1}$$

Multiply 2 times -5.

$$-10a^{2-1}+\left(-10b\right)a^{1-1}$$

Subtract 1 from 2.

$$-10a^{1}+\left(-10b\right)a^{1-1}$$

Subtract 1 from 1.

$$-10a^{1}+\left(-10b\right)a^{0}$$

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

$$-10a+\left(-10b\right)a^{0}$$

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

$$-10a+\left(-10b\right)\times 1$$

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

$$-10a-10b$$

Evaluate

$$-5a^{2}-10ab-36$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$-5a^{2}-10ab-36$$