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Let f:R→R and g:R→R be respectively given by f(x)=|x|+1 and g(x)=x2+1. Define h:R→R by h(x)={max{f(x),g(x)}, x≤0min{f(x),g(x)}, x>0.The number of points at which h(x) is not differentiable is |
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Answer» Let f:R→R and g:R→R be respectively given by f(x)=|x|+1 and g(x)=x2+1. Define h:R→R by h(x)={max{f(x),g(x)}, x≤0min{f(x),g(x)}, x>0. The number of points at which h(x) is not differentiable is |
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