If the graph of the function `y=f(x)`
has a unique tangent at the point `(a ,0)`
through which the graph passes, then evaluate
`("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))`
Text Solution
Verified by Experts
From the given information, f(a)=0 and f(x) is differentiable at x=a. `underset(xtoa)lim(log_(e){1+6f(x)})/(3f(x))" "`(0/0 form) `=underset(xtoa)lim((1)/(1+6f(x)).6f'(x))/(3f'(x))" "`(Using L'Hospital Rule) `=2xx(1)/(1+6f(a))=2`
LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS
CENGAGE PUBLICATION|Exercise DPP 1.2|10 Videos
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