Solve 6x/1^2

$$\frac { 6 x } { 1 ^ { 2 } }$$

Evaluate

$$6x$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{6x}{1}$$

Anything divided by one gives itself.

$$6x$$

Differentiate w.r.t. x

$$6$$

Steps Using Definition of a Derivative

Calculate 1 to the power of 2 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6x}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x)$$

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

$$6x^{1-1}$$

Subtract 1 from 1.

$$6x^{0}$$

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

$$6\times 1$$

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

$$6$$