Solve 1a-35-a^2+5a

$$1 a - 35 - a ^ { 2 } + 5 a$$

Differentiate w.r.t. a

$$6-2a$$

Steps Using Derivative Rule for Sum

Combine 1a and 5a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a-35-a^{2})$$

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}.

$$6a^{1-1}+2\left(-1\right)a^{2-1}$$

Subtract 1 from 1.

$$6a^{0}+2\left(-1\right)a^{2-1}$$

Multiply 2 times -1.

$$6a^{0}-2a^{2-1}$$

Subtract 1 from 2.

$$6a^{0}-2a^{1}$$

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

$$6a^{0}-2a$$

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

$$6\times 1-2a$$

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

$$6-2a$$

Evaluate

$$-a^{2}+6a-35$$

Solution Steps

Combine 1a and 5a to get 6a.

$$6a-35-a^{2}$$