Solve 35(008)+8x

$$35(008)+8x$$

Evaluate

$$8x$$

Solution Steps

Multiply 35 and 0 to get 0.

$$0\times 0\times 8+8x$$

Multiply 0 and 0 to get 0.

$$0\times 8+8x$$

Multiply 0 and 8 to get 0.

$$0+8x$$

Anything plus zero gives itself.

$$8x$$

Differentiate w.r.t. x

$$8$$

Steps Using Definition of a Derivative

Multiply 35 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 0\times 8+8x)$$

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 8+8x)$$

Multiply 0 and 8 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0+8x)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x)$$

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

$$8x^{1-1}$$

Subtract 1 from 1.

$$8x^{0}$$

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

$$8\times 1$$

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

$$8$$