Solve (w/10+32+64]

$$( \frac { w } { 10 + 32 + 64 } ]$$

Evaluate

$$\frac{w}{106}$$

Solution Steps

Add 10 and 32 to get 42.

$$\frac{w}{42+64}$$

Add 42 and 64 to get 106.

$$\frac{w}{106}$$

Differentiate w.r.t. w

$$\frac{1}{106} = 0.009433962264150943$$

Steps Using Definition of a Derivative

Add 10 and 32 to get 42.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{w}{42+64})$$

Add 42 and 64 to get 106.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{w}{106})$$

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

$$\frac{1}{106}w^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{106}w^{0}$$

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

$$\frac{1}{106}\times 1$$

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

$$\frac{1}{106}$$