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(Solved): Suppose that \[ f(x)=7 x^{2} \ln (x), \quad x>0 . \] (A) List all the critical values of \( f(x) \ ...



Suppose that
\[
f(x)=7 x^{2} \ln (x), \quad x>0 .
\]
(A) List all the critical values of \( f(x) \). Note: If there are no cr

Suppose that \[ f(x)=7 x^{2} \ln (x), \quad x>0 . \] (A) List all the critical values of \( f(x) \). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where \( f(x) \) is increasing. Note: Use 'INF' for \( \infty \), '-INF' for \( -\infty \), and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where \( f(x) \) is decreasing. Decreasing: (D) List the \( x \) values of all local maxima of \( f(x) \). If there are no local maxima, enter 'NONE'. \( x \) values of local maximums \( = \) (E) List the \( x \) values of all local minima of \( f(x) \). If there are no local minima, enter 'NONE'. \( x \) values of local minimums \( = \) (F) Use interval notation to indicate where \( f(x) \) is concave up. Concave up: (G) Use interval notation to indicate where \( f(x) \) is concave down. Concave down: (H) List the \( x \) values of all the inflection points of \( f \). If there are no inflection points, enter 'NONE'. \( x \) values of inflection points \( = \)


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Given that the function as f(x)=7x2ln?x, x>0 Firstly we find the derivative of f(x) is f?(x)=ddx[7x2ln?x]=14xln?x+7x (A) To find the critical point f?
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