Using the definition of derivative that incorporates the idea of limit, prove that if f and g are differentiable, then d d [f(x)g(x)] = f(x) [g(x)] + g(x) [f(x)] dx
Using the definition of derivative that incorporates the idea of limit, prove that if f and g are differentiable, then d d [f(x)g(x)] = f(x) [g(x)] + g(x) [f(x)] dx
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![Using the definition of derivative that incorporates the idea of limit, prove that if f and g
are differentiable, then
d
d
[f(x)g(x)] = f(x) [g(x)] + g(x) [f(x)]
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe793ab77-a2c0-4cdb-94af-fb63120152ec%2F10f6f895-7095-448c-a822-dcfe4d9468b6%2Fe6g5dvk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the definition of derivative that incorporates the idea of limit, prove that if f and g
are differentiable, then
d
d
[f(x)g(x)] = f(x) [g(x)] + g(x) [f(x)]
dx
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