Solve 4^2x7^2

$$4 ^ { 2 } x 7 ^ { 2 }$$

Evaluate

$$784x$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$16x\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$16x\times 49$$

Multiply 16 and 49 to get 784.

$$784x$$

Differentiate w.r.t. x

$$784$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x\times 7^{2})$$

Calculate 7 to the power of 2 and get 49.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x\times 49)$$

Multiply 16 and 49 to get 784.

$$\frac{\mathrm{d}}{\mathrm{d}x}(784x)$$

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

$$784x^{1-1}$$

Subtract 1 from 1.

$$784x^{0}$$

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

$$784\times 1$$

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

$$784$$