perplexus.info :: Calculus : An Inverse Evaluation

An Inverse Evaluation (Posted on 2006-05-25)

We know that f'(x) and f"(x) respectively denote the first derivative and second derivative of a given function f(x) with respect to x.
If P is the inverse function of S, and P'(x)=e^x²; then:

2*S(x)*S'(x) + e^S(x)²*S"(x) = ?

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 votes)

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Starting idea

| Comment 1 of 6

It looks like almost the product rule to me. If it said the same thing but with e^2*S(x)instead of 2*S(X), it would just be (P'(S(x))*S'(x))'

Posted by Gamer on 2006-05-25 14:17:25

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