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Solution for Find the Value(S) of a for Which F(X) = X3 − Ax is an Increasing Function on R ? - CBSE (Science) Class 12 - Mathematics

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Question

Find the value(s) of a for which f(x) = x3 − ax is an increasing function on R ?

Solution

\[f\left( x \right) = x^3 - ax\]

\[f'\left( x \right) = 3 x^2 - a\]

\[\text { Given }:f\left( x \right)\text { is increasing on R }.\]

\[ \Rightarrow f'\left( x \right) \geq 0 \forall x \in R\]

\[ \Rightarrow 3 x^2 - a \geq 0 \forall x \in R\]

\[ \Rightarrow a \leq 3 x^2 \forall x \in R\]

\[\text { The least value of } 3 x^2 \text { is } 0.\]

\[\therefore a \leq 0\] 

  Is there an error in this question or solution?

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Solution for question: Find the Value(S) of a for Which F(X) = X3 − Ax is an Increasing Function on R ? concept: Increasing and Decreasing Functions. For the courses CBSE (Science), PUC Karnataka Science, CBSE (Arts), CBSE (Commerce)
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