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The function f x = e x 3 - 6 x 2 + 10 attains local extremum at x = a and x = b a < b , then the value of a + b is equal to

Correct answer

4

Step-by-step solution

f ′ x = e x 3 − 6 x 2 + 10 3 x 2 − 12 x Thus, f x attains extremum at x = 0 & x = 4 i.e. a = 0 & b = 4 ⇒ a + b = 4

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