Solve 8quad7xdiv1/2

$$8 \quad 7 x \div \frac { 1 } { 2 }$$

Evaluate

$$112x$$

Solution Steps

Multiply 8 and 7 to get 56.

$$\frac{56x}{\frac{1}{2}}$$

Divide 56x by \frac{1}{2} by multiplying 56x by the reciprocal of \frac{1}{2}.

$$56x\times 2$$

Multiply 56 and 2 to get 112.

$$112x$$

Differentiate w.r.t. x

$$112$$

Steps Using Definition of a Derivative

Multiply 8 and 7 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{56x}{\frac{1}{2}})$$

Divide 56x by \frac{1}{2} by multiplying 56x by the reciprocal of \frac{1}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(56x\times 2)$$

Multiply 56 and 2 to get 112.

$$\frac{\mathrm{d}}{\mathrm{d}x}(112x)$$

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

$$112x^{1-1}$$

Subtract 1 from 1.

$$112x^{0}$$

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

$$112\times 1$$

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

$$112$$