Give a value of ( x ) such that the slope of the tangent line to the graph of [ y=frac{x^{3}}{3}-frac{3 x^{2}}{2}+2 x+1 ] is zero.
Added by Regina C.
Close
Step 1
Step 1: Calculate the derivative of the function F(x) = x^3/3 - 3x^2/2 + 2x + 1. Show more…
Show all steps
Your feedback will help us improve your experience
Likhit Ganedi and 95 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
Find the slope of the tangent line to the graph of the given function at the indicated value of $x$. $$ y=\frac{1}{(3 x+1)^{2}} ; \quad x=0 $$
The Derivative
Chain Rule
Find an equation of the tangent line to the graph of $y=x^{3}+3 x^{2}-4 x+1$ at the point where the value of the second derivative is zero.
Power and Sum Rules
Find all values of $x($ if any $)$ where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is horizontal when its slope is zero.] $$ y=-3 x^{2}-x $$
Techniques of Differentiation with Applications
Derivatives of Powers, Sums, and Constant Multiples
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD