Solve 10^4*7x

$$10 ^ { 4 } \times 7 x$$

Evaluate

$$70000x$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$10000\times 7x$$

Multiply 10000 and 7 to get 70000.

$$70000x$$

Differentiate w.r.t. x

$$70000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 4 and get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10000\times 7x)$$

Multiply 10000 and 7 to get 70000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(70000x)$$

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

$$70000x^{1-1}$$

Subtract 1 from 1.

$$70000x^{0}$$

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

$$70000\times 1$$

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

$$70000$$