Solve 25x*30/5

$$\frac { 25 x \cdot 30 } { 5 }$$

Evaluate

$$150x$$

Solution Steps

Multiply 25 and 30 to get 750.

$$\frac{750x}{5}$$

Divide 750x by 5 to get 150x.

$$150x$$

Differentiate w.r.t. x

$$150$$

Steps Using Definition of a Derivative

Multiply 25 and 30 to get 750.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{750x}{5})$$

Divide 750x by 5 to get 150x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(150x)$$

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

$$150x^{1-1}$$

Subtract 1 from 1.

$$150x^{0}$$

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

$$150\times 1$$

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

$$150$$