Solve 6x*9div4

$$6 x \cdot 9 \div 4$$

Evaluate

$$\frac{27x}{2}$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54x}{4}$$

Divide 54x by 4 to get \frac{27}{2}x.

$$\frac{27}{2}x$$

Differentiate w.r.t. x

$$\frac{27}{2} = 13\frac{1}{2} = 13.5$$

Steps Using Definition of a Derivative

Multiply 6 and 9 to get 54.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{54x}{4})$$

Divide 54x by 4 to get \frac{27}{2}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{27}{2}x)$$

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

$$\frac{27}{2}x^{1-1}$$

Subtract 1 from 1.

$$\frac{27}{2}x^{0}$$

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

$$\frac{27}{2}\times 1$$

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

$$\frac{27}{2}$$