Solve 2x(49*2)=

$$2x(49 \times 2)=$$

Evaluate

$$196x$$

Solution Steps

Multiply 2 and 49 to get 98.

$$98x\times 2$$

Multiply 98 and 2 to get 196.

$$196x$$

Differentiate w.r.t. x

$$196$$

Steps Using Definition of a Derivative

Multiply 2 and 49 to get 98.

$$\frac{\mathrm{d}}{\mathrm{d}x}(98x\times 2)$$

Multiply 98 and 2 to get 196.

$$\frac{\mathrm{d}}{\mathrm{d}x}(196x)$$

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

$$196x^{1-1}$$

Subtract 1 from 1.

$$196x^{0}$$

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

$$196\times 1$$

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

$$196$$