Let V(t) = 2ln(t).
(i) Find the slope of the function at t = 1.
Interpret your answer.
(ii) Find the equation of the tangent at t = 1.
(i) Find the slope of the function at t = 1.
Interpret your answer.
(ii) Find the equation of the tangent at t = 1.
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For this, recall that the derivative of log(t) (ln(t) ) is 1/t
Hence the slope of V at t is (2/t) so at 1 the slope is 2.
V(1)=2log(1)=0 (Log(1)=0)
Hence the tangent line has (cartesian) equation y=2x-2 ( -2 since y(1)=V(1)=0)
Hence the slope of V at t is (2/t) so at 1 the slope is 2.
V(1)=2log(1)=0 (Log(1)=0)
Hence the tangent line has (cartesian) equation y=2x-2 ( -2 since y(1)=V(1)=0)
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2ln=G(V)