Solve 5(2x*7)

$$5(2x \times 7)$$

Evaluate

$$70x$$

Solution Steps

Multiply 5 and 2 to get 10.

$$10x\times 7$$

Multiply 10 and 7 to get 70.

$$70x$$

Differentiate w.r.t. x

$$70$$

Steps Using Definition of a Derivative

Multiply 5 and 2 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x\times 7)$$

Multiply 10 and 7 to get 70.

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

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

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

Subtract 1 from 1.

$$70x^{0}$$

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

$$70\times 1$$

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

$$70$$