GATE 2022 AG – Question 22
Find the slope of $f(x)=2x^4-3x^2+5x$ at x=2. Give an integer.
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Correct answer: 57 to 57
Explanation
Differentiate each term: $f^{\prime}(x)=8x^3-6x+5$. At x=2 this is $8(8)-12+5=\mathbf{57}$. The requested slope is the derivative, not the function value or a secant slope.