Solve (a)-2.3*0.1+35*(-0.01)-(-2.1)*(-0.2)

$$( a ) - 2.3 \cdot 0.1 + 35 \cdot ( - 0.01 ) - ( - 2.1 ) \cdot ( - 0.2 )$$

Evaluate

$$a-1$$

Solution Steps

Multiply 2.3 and 0.1 to get 0.23.

$$a-0.23+35\left(-0.01\right)-\left(-2.1\left(-0.2\right)\right)$$

Multiply 35 and -0.01 to get -0.35.

$$a-0.23-0.35-\left(-2.1\left(-0.2\right)\right)$$

Subtract 0.35 from -0.23 to get -0.58.

$$a-0.58-\left(-2.1\left(-0.2\right)\right)$$

Multiply -2.1 and -0.2 to get 0.42.

$$a-0.58-0.42$$

Subtract 0.42 from -0.58 to get -1.

$$a-1$$

Differentiate w.r.t. a

$$1$$

Steps Using Derivative Rule for Sum

Multiply 2.3 and 0.1 to get 0.23.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a-0.23+35\left(-0.01\right)-\left(-2.1\left(-0.2\right)\right))$$

Multiply 35 and -0.01 to get -0.35.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a-0.23-0.35-\left(-2.1\left(-0.2\right)\right))$$

Subtract 0.35 from -0.23 to get -0.58.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a-0.58-\left(-2.1\left(-0.2\right)\right))$$

Multiply -2.1 and -0.2 to get 0.42.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a-0.58-0.42)$$

Subtract 0.42 from -0.58 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a-1)$$

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}.

$$a^{1-1}$$

Subtract 1 from 1.

$$a^{0}$$

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

$$1$$