We are given with a polynomial function f(x) = 2x3 - 9x2 + 12x + 9, and we have to find f ‘(x) at x = 1 and x = 2, so by using the formula, f ‘(c) = , we get,f ‘(1) = f ‘(1) = f ‘(1) = f ‘(1) = f ‘(1) = limx→1 2x2 - 7x + 5 = 0for x = 2, we get,f ‘(2) = f ‘(2) = f ‘(2) = f ‘(2) = f ‘(2) = limx→2 2x2 - 5x + 2 = 0Hence they are equal at x = 1 and x = 2 .

Q. 35.0( 1 Vote )

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Class 12th RD Sharma - Volume 1 10. Differentiability

Answer :

We are given with a polynomial function f(x) = 2x³ - 9x² + 12x + 9, and we have to find f ‘(x) at x = 1 and x = 2, so by using the formula, f ‘(c) = , we get,