Solve 5x(9)+206x

$$5 x ( 9 ) + 206 x$$

Evaluate

$$251x$$

Solution Steps

Multiply 5 and 9 to get 45.

$$45x+206x$$

Combine 45x and 206x to get 251x.

$$251x$$

Differentiate w.r.t. x

$$251$$

Steps Using Definition of a Derivative

Multiply 5 and 9 to get 45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(45x+206x)$$

Combine 45x and 206x to get 251x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(251x)$$

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

$$251x^{1-1}$$

Subtract 1 from 1.

$$251x^{0}$$

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

$$251\times 1$$

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

$$251$$