Question

Question 10-(2) Consider $f(x) = 2x^4 - 3px^3 + 4x^2 - 1$, where $p$ is a constant. Find the smallest integer value of $p$ such that $f(x)$ has a maximum turning point at $x = 4$.

          Question 10-(2)
Consider $f(x) = 2x^4 - 3px^3 + 4x^2 - 1$, where $p$ is a constant. Find the smallest integer value of $p$ such that $f(x)$ has a maximum turning point at $x = 4$.

Added by David A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Caroline Maroutian

03/20/2024

Step 1

So, we need to find the derivative of $f(x)$ and set it equal to zero. Show more…

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Question 10-(2) Consider $f(x) = 2x^4 - 3px^3 + 4x^2 - 1$, where $p$ is a constant. Find the smallest integer value of $p$ such that $f(x)$ has a maximum turning point at $x = 4$.