Original
for all {{MATH_39}} in {{MATH_40}}.
{{CMD_41}}
Since the function {{MATH_42}} satisfies the conditions of the Mean value theorem (MVT), there exists a points {{MATH_43}} in {{MATH_44}} such that {{MATH_45}}.
{{CMD_46}}
{{CMD_47}}
Since {{MATH_48}},{{CMD_49}}
it follows that {{MATH_50}}.
{{CMD_51}}
{{CMD_52}}
{{CMD_53}}True{{CMD_54}}
{{CMD_55}}False{{CMD_56}}
{{CMD_57}}