What is the function of the derivative f'(x)=1/x^2?
3 Answers
Apr 9, 2018
To find the function you need to integrate the derivative.
Explanation:
This means we have to evaluate:
Therefore
Apr 9, 2018
Explanation:
#"to find the function given the derivative we integrate"#
#rArrf(x)=int1/x^2dx=intx^(-2)dx#
#"integrate using the "color(blue)"power rule"#
#int(ax^n)=a/(n+1)x^(n+1);n!=-1#
#rArrintx^(-2)dx=-1x^((-2+1))=-1x^(-1)=-1/x+c#
#"where c is the constant of integration"#
Apr 9, 2018
Explanation:
Given:
Then,
Use the power rule, which states that,
Now, we need to add a constant, since this is not a definite integral.