Question

which of the following statements are true ? Give reasons for your answers in the form of a short prool or a counter example,
¡).
$d {}^{2} y \div dx {}^{2} = ( dy \div dx) {}^{2}$

ii) The inverse function of
$y = e {}^{3x}$
is y = 1/3 ln X

iii) If f is increasing and f(x) > 0 on an interval I, then g(x)= 1/f(x) is decreasing on I.

iv) An equation of the tangent line to the parabola y=x² at (-2,4) is y-4=2x(x+2).

5) If f is one-one onto and differentiable on R, then
$(f {}^{ - 1} )(6) = 1 \div f(6)$
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Answer 1

Step-by-step explanation:

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