Solve 25x+(7x+3y)+(18x-3y)

$$25 x + ( 7 x + 3 y ) + ( 18 x - 3 y )$$

Evaluate

$$50x$$

Solution Steps

Combine 25x and 7x to get 32x.

$$32x+3y+18x-3y$$

Combine 32x and 18x to get 50x.

$$50x+3y-3y$$

Combine 3y and -3y to get 0.

$$50x$$

Differentiate w.r.t. x

$$50$$

Steps Using Definition of a Derivative

Combine 25x and 7x to get 32x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(32x+3y+18x-3y)$$

Combine 32x and 18x to get 50x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x+3y-3y)$$

Combine 3y and -3y to get 0.

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

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

$$50x^{1-1}$$

Subtract 1 from 1.

$$50x^{0}$$

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

$$50\times 1$$

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

$$50$$