Solve 350x(1/50)

$$350x( \frac{ 1 }{ 50 } )$$

Evaluate

$$7x$$

Solution Steps

Multiply 350 and \frac{1}{50} to get \frac{350}{50}.

$$\frac{350}{50}x$$

Divide 350 by 50 to get 7.

$$7x$$

Differentiate w.r.t. x

$$7$$

Steps Using Definition of a Derivative

Multiply 350 and \frac{1}{50} to get \frac{350}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{350}{50}x)$$

Divide 350 by 50 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x)$$

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

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$