Solve a|49+25=

$$a | 49 + 25 =$$

Evaluate

$$74a$$

Solution Steps

Add 49 and 25 to get 74.

$$a|74|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 74 is 74.

$$a\times 74$$

Differentiate w.r.t. a

$$74$$

Steps Using Definition of a Derivative

Add 49 and 25 to get 74.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a|74|)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 74 is 74.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times 74)$$

The derivative of ax^{n} is nax^{n-1}.

$$74a^{1-1}$$

Subtract 1 from 1.

$$74a^{0}$$

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

$$74\times 1$$

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

$$74$$