Solve 2X(7)^3

$$2 X ( 7 ) ^ { 3 }$$

Evaluate

$$686X$$

Solution Steps

Calculate 7 to the power of 3 and get 343.

$$2X\times 343$$

Multiply 2 and 343 to get 686.

$$686X$$

Differentiate w.r.t. X

$$686$$

Steps Using Definition of a Derivative

Calculate 7 to the power of 3 and get 343.

$$\frac{\mathrm{d}}{\mathrm{d}X}(2X\times 343)$$

Multiply 2 and 343 to get 686.

$$\frac{\mathrm{d}}{\mathrm{d}X}(686X)$$

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

$$686X^{1-1}$$

Subtract 1 from 1.

$$686X^{0}$$

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

$$686\times 1$$

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

$$686$$