Solve -13,24+b+4,9+8,24+(-4,9)

$$- 13,24 + b + 4,9 + 8,24 + ( - 4,9 )$$

Evaluate

$$b-5$$

Solution Steps

Add -13,24 and 4,9 to get -8,34.

$$-8,34+b+8,24-4,9$$

Add -8,34 and 8,24 to get -0,1.

$$-0,1+b-4,9$$

Subtract 4,9 from -0,1 to get -5.

$$-5+b$$

Differentiate w.r.t. b

$$1$$

Steps Using Derivative Rule for Sum

Add -13,24 and 4,9 to get -8,34.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-8,34+b+8,24-4,9)$$

Add -8,34 and 8,24 to get -0,1.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-0,1+b-4,9)$$

Subtract 4,9 from -0,1 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-5+b)$$

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}.

$$b^{1-1}$$

Subtract 1 from 1.

$$b^{0}$$

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

$$1$$