Continuity and DifferentiabilityHard
Question
If f(x) = |x||sinx|, then f′(π/4) is equal to
Options
A.
B.
C.
D.
Solution
f(x) = |x||sinx|
at x = π/4, |x| = x and |sinx| = sinx
∴ f(x) = xsinx
⇒ ln(f(x)) = sinx . lnx
⇒
f′(x) = cosx lnx + 
⇒ f′(π/4) =
at x = π/4, |x| = x and |sinx| = sinx
∴ f(x) = xsinx
⇒ ln(f(x)) = sinx . lnx
⇒
f′(x) = cosx lnx + ⇒ f′(π/4) =
Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
The following function are continuous on (0, π)...If function f(x) = , is continuous function, then f(0) is equal to -...If u = sin−1 (x − y), x= 3t, y = 4t3, then du/dt equals-...Let ef(x) = ln x. If g(x) is the inverse function of f(x), then g′(x) equals to:...If f(x) = 5x2 − 6x + 3 and f′(k) = 4, then the value of k is-...