Question
When the tangent at a point on a curve is parallel to x-axis, then the curvature at that point is same as the second derivative at that point. or F'alse.
Step 1
The tangent at a point on a curve is parallel to the x-axis when the first derivative (slope) of the curve at that point is zero, i.e., f'(x) = 0. Show more…
Show all steps
Your feedback will help us improve your experience
David Nguyen and 76 other Calculus 3 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
Given a twice-differentiable function $y=f(x),$ determine its curvature at a relative extremum. Can the curvature ever be greater than it is at a relative extremum? Why or why not?
Vector-Valued Functions
Arc Length and Curvature
The slope of the tangent line to the graph of $f$ at $(c, f(c))$ is the derivative of $f$ at $c$.
Preview of Calculus: The Limit, Derivative, and Integral
The Tangent Problem; The Derivative
The derivative of a function $f$ at a number $a$ is $f^{\prime}(a)=\lim _{h \rightarrow 0}$______________ if the limit exists. The derivative $f^{\prime}(a)$ is the _____ of the tangent line to the curve $y=f(x)$ at the point $(\quad, \quad)$
Limits: A Preview of Calculus
Tangent Lines and Derivatives
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD