Question
In Exercises $35-38$ , find the function with the given derivative whose graph passes through the point $P$ .$$f^{\prime}(x)=-\frac{1}{x^{2}}, \quad x>0, \quad P(2,1)$$
Step 1
To find the original function $f(x)$, we need to integrate $f'(x)$ with respect to $x$. Show more…
Show all steps
Your feedback will help us improve your experience
Mutahar Mehkri and 98 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises $35-38$ , find the function with the given derivative whose graph passes through the point $P$ . $$f^{\prime}(x)=\frac{1}{x+2}, \quad x>-2, \quad P(-1,3)$$
Applications of Derivatives
Mean Value Theorem
In Exercises $35-38$ , find the function with the given derivative whose graph passes through the point $P$ . $$f^{\prime}(x)=\frac{1}{4 x^{3 / 4}}, \quad P(1,-2)$$
In Exercises $35-38$ , find the function with the given derivative whose graph passes through the point $P$ . $$f^{prime}(x)=frac{1}{4 x^{3 / 4}}, quad P(1,-2)$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD