Solve 77/11*x/1

$$\frac { 77 } { 11 } \times \frac { x } { 1 }$$

Evaluate

$$7x$$

Solution Steps

Divide 77 by 11 to get 7.

$$7\times \frac{x}{1}$$

Anything divided by one gives itself.

$$7x$$

Differentiate w.r.t. x

$$7$$

Steps Using Definition of a Derivative

Divide 77 by 11 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7\times \frac{x}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x)$$

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

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$