Solve x*(81)^7

$$x \times ( 81 ) ^ { 7 }$$

Differentiate w.r.t. x

$$22876792454961$$

Steps Using Definition of a Derivative

Calculate 81 to the power of 7 and get 22876792454961.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 22876792454961)$$

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

$$22876792454961x^{1-1}$$

Subtract 1 from 1.

$$22876792454961x^{0}$$

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

$$22876792454961\times 1$$

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

$$22876792454961$$

Evaluate

$$22876792454961x$$

Solution Steps

Calculate 81 to the power of 7 and get 22876792454961.

$$x\times 22876792454961$$