Solve 2x*176.5/60*60

$$\frac { 2 x \times 176.5 } { 60 \times 60 }$$

Evaluate

$$\frac{353x}{3600}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{176.5x}{30\times 60}$$

Multiply 30 and 60 to get 1800.

$$\frac{176.5x}{1800}$$

Divide 176.5x by 1800 to get \frac{353}{3600}x.

$$\frac{353}{3600}x$$

Differentiate w.r.t. x

$$\frac{353}{3600} = 0.09805555555555556$$

Steps Using Definition of a Derivative

Cancel out 2 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{176.5x}{30\times 60})$$

Multiply 30 and 60 to get 1800.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{176.5x}{1800})$$

Divide 176.5x by 1800 to get \frac{353}{3600}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{353}{3600}x)$$

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

$$\frac{353}{3600}x^{1-1}$$

Subtract 1 from 1.

$$\frac{353}{3600}x^{0}$$

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

$$\frac{353}{3600}\times 1$$

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

$$\frac{353}{3600}$$