Solve 3(1)^3+k(1)+2

$$3 ( 1 ) ^ { 3 } + k ( 1 ) + 2$$

Differentiate w.r.t. k

$$1$$

Steps Using Derivative Rule for Sum

Calculate 1 to the power of 3 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}k}(3\times 1+k\times 1+2)$$

Multiply 3 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}k}(3+k\times 1+2)$$

Add 3 and 2 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}k}(5+k\times 1)$$

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}.

$$k^{1-1}$$

Subtract 1 from 1.

$$k^{0}$$

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

$$1$$

Evaluate

$$k+5$$