Solve 78/2*100x=

$$\frac{ 78 }{ 2 } \times 100x=$$

Evaluate

$$3900x$$

Solution Steps

Divide 78 by 2 to get 39.

$$39\times 100x$$

Multiply 39 and 100 to get 3900.

$$3900x$$

Differentiate w.r.t. x

$$3900$$

Steps Using Definition of a Derivative

Divide 78 by 2 to get 39.

$$\frac{\mathrm{d}}{\mathrm{d}x}(39\times 100x)$$

Multiply 39 and 100 to get 3900.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3900x)$$

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

$$3900x^{1-1}$$

Subtract 1 from 1.

$$3900x^{0}$$

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

$$3900\times 1$$

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

$$3900$$