Solve 7x^1*8

$$7 x ^ { 1 } \times 8$$

Evaluate

$$56x$$

Solution Steps

Calculate x to the power of 1 and get x.

$$7x\times 8$$

Multiply 7 and 8 to get 56.

$$56x$$

Differentiate w.r.t. x

$$56$$

Steps Using Definition of a Derivative

Calculate x to the power of 1 and get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x\times 8)$$

Multiply 7 and 8 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}x}(56x)$$

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

$$56x^{1-1}$$

Subtract 1 from 1.

$$56x^{0}$$

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

$$56\times 1$$

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

$$56$$