Find an equation of the line that is tangent to the graph of f and parallel to the given line. f (x) = f (x) = x^2; 2x − y + 1 = 0
Added by Stephen C.
Step 1
The equation of the line is in the form of ax + by + c = 0, where a is the coefficient of x, b is the coefficient of y, and the slope of the line is -a/b. So, the slope of the given line is -2/-1 = 2. Since the tangent line is parallel to the given line, it will Show more…
Show all steps
Close
Your feedback will help us improve your experience
Bradley Duda and 58 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 an equation of the line that is tangent to the graph of $f$ and parallel to the given line. $$ \begin{array}{ll}{\text { Function }} & {\text { Line }} \\ {f(x)=x^{2}+1} & {2 x+y=0}\end{array} $$
Differentiation
The Derivative and the Slope of a Graph
Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function: f(x) = 2x^2 Line: 2x - y + 1 = 0 y =
Zhumagali S.
Find an equation of the line that is tangent to the graph of $f$ and parallel to the given line. Function $\quad$ Line $f(x)=x^{2} \quad 2 x-y+1=0$
The Derivative and the Tangent Line
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