Solve x35^218

$$x { 35 }^{ 2 } 18$$

Evaluate

$$22050x$$

Solution Steps

Calculate 35 to the power of 2 and get 1225.

$$x\times 1225\times 18$$

Multiply 1225 and 18 to get 22050.

$$x\times 22050$$

Differentiate w.r.t. x

$$22050$$

Steps Using Definition of a Derivative

Calculate 35 to the power of 2 and get 1225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 1225\times 18)$$

Multiply 1225 and 18 to get 22050.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 22050)$$

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

$$22050x^{1-1}$$

Subtract 1 from 1.

$$22050x^{0}$$

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

$$22050\times 1$$

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

$$22050$$