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Question: Answered & Verified by Expert
If \(f(x)=x^4-x^3+7 x^2+14\), then what is the value of \(f^{\prime}(5)\) ?
MathematicsDifferentiationAP EAMCETAP EAMCET 2020 (18 Sep Shift 1)
Options:
  • A 594
  • B 549
  • C 954
  • D 495
Solution:
2846 Upvotes Verified Answer
The correct answer is: 495
Since, \(f(x)=x^4-x^3+7 x^2+14\)
Then, \(\quad f^{\prime}(x)=4 x^3-3 x^2+14 x\)
\(\therefore \quad f^{\prime}(5)=500-75+70=495\)

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