Homework Help is Here – Start Your Trial Now!
Math
Statistics
Let f(x) = C[0, 1] and be differentiable in (0, 1). Suppose f(0) = 0. Prove: if f(x) is not constantly 0 in (0, 1), then there exists ( = (0,1), such that ƒ (§) · ƒ’(C) > 0.

Let f(x) = C[0, 1] and be differentiable in (0, 1). Suppose f(0) = 0. Prove: if f(x) is not constantly 0 in (0, 1), then there exists ( = (0,1), such that ƒ (§) · ƒ’(C) > 0.

icon
Related questions
Question
Let f(x) = C[0, 1] and be differentiable in (0, 1). Suppose f(0) = 0. Prove: if f(x) is not constantly 0 in (0, 1), then there exists ( = (0,1), such that ƒ (§) · ƒ’(C) > 0.
Transcribed Image Text:Let f(x) = C[0, 1] and be differentiable in (0, 1). Suppose f(0) = 0. Prove: if f(x) is not constantly 0 in (0, 1), then there exists ( = (0,1), such that ƒ (§) · ƒ’(C) > 0.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer