Solve 7*x+y*x*0x

$$7 \cdot x + y \cdot x \cdot 0 x$$

Evaluate

$$7x$$

Solution Steps

Multiply x and x to get x^{2}.

$$7x+yx^{2}\times 0$$

Anything times zero gives zero.

$$7x+0$$

Anything plus zero gives itself.

$$7x$$

Differentiate w.r.t. x

$$7$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+yx^{2}\times 0)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+0)$$

Anything plus zero 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.

$$7$$