Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify you answers completely.) f(x) = 4x^2 + 9x Step 1: f(x + h) = Step 2: f(x + h) - f(x) = Step 3: (f(x + h) - f(x)) / h = Step 4: f'(x) = lim_{h->0} (f(x + h) - f(x)) / h =
Added by Stephen T.
Close
Step 1
Step 1:** \(f(x + h) = 4(x + h)^2 + 9(x + h)\) \(f(x + h) = 4(x^2 + 2xh + h^2) + 9x + 9h\) \(f(x + h) = 4x^2 + 8xh + 4h^2 + 9x + 9h\) ** Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Parmar and 86 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
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = 2x2 + 9x Step 1: f(x + h) = Step 2: f(x + h) − f(x) = Step 3: f(x+h) - f(x) / h = Step 4: f '(x) = lim h→0= f(x + h) − f(x) / h =
Zhumagali S.
Avinash V.
Find the slope of the tangent line to the graph of $f$ at the given point. Graph $f$ and the tangent line. $$f(x)=-2 x^{2}+x-3 \text { at }(1,-4)$$
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
The Tangent Problem; The Derivative
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