Solve 64.9x/8(2.4)

$$\frac { 64.9 x } { 8 ( 2.4 ) }$$

Evaluate

$$\frac{649x}{192}$$

Solution Steps

Multiply 8 and 2.4 to get 19.2.

$$\frac{64.9x}{19.2}$$

Divide 64.9x by 19.2 to get \frac{649}{192}x.

$$\frac{649}{192}x$$

Differentiate w.r.t. x

$$\frac{649}{192} = 3\frac{73}{192} = 3.3802083333333335$$

Steps Using Definition of a Derivative

Multiply 8 and 2.4 to get 19.2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{64.9x}{19.2})$$

Divide 64.9x by 19.2 to get \frac{649}{192}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{649}{192}x)$$

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

$$\frac{649}{192}x^{1-1}$$

Subtract 1 from 1.

$$\frac{649}{192}x^{0}$$

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

$$\frac{649}{192}\times 1$$

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

$$\frac{649}{192}$$