Solve 25k^2+10hk+1

$$25 k ^ { 2 } + 10 h k + 1$$

Differentiate w.r.t. k

$$10\left(h+5k\right)$$

Steps Using Derivative Rule for Sum

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}.

$$2\times 25k^{2-1}+10hk^{1-1}$$

Multiply 2 times 25.

$$50k^{2-1}+10hk^{1-1}$$

Subtract 1 from 2.

$$50k^{1}+10hk^{1-1}$$

Subtract 1 from 1.

$$50k^{1}+10hk^{0}$$

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

$$50k+10hk^{0}$$

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

$$50k+10h\times 1$$

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

$$50k+10h$$

Evaluate

$$10hk+25k^{2}+1$$