Solve 5,1x+65x

$$5,1 x + 65 x$$

Differentiate w.r.t. x

$$70,1$$

Steps Using Definition of a Derivative

Combine 5,1x and 65x to get 70,1x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(70,1x)$$

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

$$70,1x^{1-1}$$

Subtract 1 from 1.

$$70,1x^{0}$$

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

$$70,1\times 1$$

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

$$70,1$$

Evaluate

$$\frac{701x}{10}$$

Solution Steps

Combine 5,1x and 65x to get 70,1x.

$$70,1x$$