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Standard XII

Mathematics

Continuous Function

The number of...

Question

The number of Non-differentiable points of the function $f (x) = | 5^{| x |} - 4 |$ is

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Solution

The correct option is D $3$
Graph of $5^{x}$
Graph of $5^{| x |}$
Graph of $5^{| x |} - 4$
Graph of $| 5^{| x |} - 4 |$
So, at three points the function is not differentiable

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The number of Non-differentiable points of the function f(x)=|5|x|−4| is

The correct option is D 3Graph of 5x Graph of 5|x| Graph of 5|x|−4 Graph of |5|x|−4| So, at three points the function is not differentiable

The number of Non-differentiable points of the function $f (x) = | 5^{| x |} - 4 |$ is

The correct option is D $3$
Graph of $5^{x}$
Graph of $5^{| x |}$
Graph of $5^{| x |} - 4$
Graph of $| 5^{| x |} - 4 |$
So, at three points the function is not differentiable