Find the Derivative - d/dx y=x^2+2x

Problem

d()/d(x)*(x2+2*x)

Solution

1. Identify the rule for differentiation, which is the sum rule: the derivative of a sum is the sum of the derivatives.

d(x2+2*x)/d(x)=d(x2)/d(x)+(d(2)*x)/d(x)

2. Apply the power rule to the first term, x2 which states that d(xn)/d(x)=n*x(n−1)

d(x2)/d(x)=2*x

3. Apply the constant multiple rule and the power rule to the second term, 2*x

(d(2)*x)/d(x)=2

4. Combine the results of the derivatives to find the final expression.

d(y)/d(x)=2*x+2

Final Answer

d()/d(x)*(x2+2*x)=2*x+2

Want more problems? Check here!