Question
Find the equation of the common tangent to the curves $y=3 x^{2}$ and $y=2 x^{3}+1$.
Step 1
The derivative of a function gives us the slope of the tangent line to the curve at any point. The derivative of $y=3x^{2}$ is $y'=6x$. The derivative of $y=2x^{3}+1$ is $y'=6x^{2}$. Show more…
Show all steps
Your feedback will help us improve your experience
Varsha Aggarwal and 77 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
Determine the equation of the tangent to the curve $y=\frac{x^{2}-1}{3 x}$ at $x=2$
The Elasticity of Demand
The Quotient Rule
Find the equation of the common tangent to the curves $y=6-x-x^{2}$ and $x y=x+3$
The Tangent and Normal
Level I
Find the equations of the tangent lines to the following curves at the indicated points. $$x^{2 / 3}+y^{2 / 3}=a^{2 / 3} \text { at }(a, 0)$$
Short-Cuts to Differentiation
Implicit Functions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD