Solve (7.6x+8.7)+(-4.37x+3.48)

$$( 7.6 x + 8.7 ) + ( - 4.37 x + 3.48 )$$

Evaluate

$$\frac{323x}{100}+12.18$$

Solution Steps

Combine 7.6x and -4.37x to get 3.23x.

$$3.23x+8.7+3.48$$

Add 8.7 and 3.48 to get 12.18.

$$3.23x+12.18$$

Differentiate w.r.t. x

$$3.23$$

Steps Using Derivative Rule for Sum

Combine 7.6x and -4.37x to get 3.23x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3.23x+8.7+3.48)$$

Add 8.7 and 3.48 to get 12.18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3.23x+12.18)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3.23x^{1-1}$$

Subtract 1 from 1.

$$3.23x^{0}$$

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

$$3.23\times 1$$

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

$$3.23$$