Solve x*(8.1)^7

$$x \times ( 8.1 ) ^ { 7 }$$

Differentiate w.r.t. x

$$2287679.2454961$$

Steps Using Definition of a Derivative

Calculate 8.1 to the power of 7 and get 2287679.2454961.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 2287679.2454961)$$

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

$$2287679.2454961x^{1-1}$$

Subtract 1 from 1.

$$2287679.2454961x^{0}$$

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

$$2287679.2454961\times 1$$

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

$$2287679.2454961$$

Evaluate

$$\frac{22876792454961x}{10000000}$$

Solution Steps

Calculate 8.1 to the power of 7 and get 2287679.2454961.

$$x\times 2287679.2454961$$