Find the Derivative - d/d@VAR f(x)=x^2+4x+7

Problem

d()/d(x)*(x2+4*x+7)

Solution

1. Identify the function to be differentiated, which is a polynomial ƒ(x)=x2+4*x+7

2. Apply the sum rule for derivatives, which allows for the differentiation of each term individually.

3. 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

4. Apply the constant multiple rule and power rule to the second term, 4*x

(d(4)*x)/d(x)=4

5. Apply the constant rule to the third term, 7 noting that the derivative of any constant is zero.

d(7)/d(x)=0

6. Combine the results of the individual derivatives to find the final expression.

Final Answer

(d(x2)+4*x+7)/d(x)=2*x+4

Want more problems? Check here!