Solve 3^2+17x+14

$${ 3 }^{ 2 } +17x+14$$

Evaluate

$$17x+23$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+17x+14$$

Add 9 and 14 to get 23.

$$23+17x$$

Differentiate w.r.t. x

$$17$$

Steps Using Derivative Rule for Sum

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9+17x+14)$$

Add 9 and 14 to get 23.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23+17x)$$

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}.

$$17x^{1-1}$$

Subtract 1 from 1.

$$17x^{0}$$

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

$$17\times 1$$

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

$$17$$