Course:MATH102/Question Challenge/2008 December Q1.1

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Question

The equation of the tangent line to the function $y=f(x)$ at the point $x_{0}$ is

(a) $y=f'(x_{0})+f(x_{0})(x-x_{0})$

(b) $y=x_{0}+f(x_{0})/f'(x_{0})$

(c) $y=f(x)-f'(x)(x-x_{0})$

(d) $y=f(x_{0})+f'(x_{0})(x-x_{0})$

(e) $y=f(x_{0})-f'(x_{0})(x-x_{0})$

Hints

Hint
add your hints here

Solutions

Solution
The equation for the tangent line of the function $f(x)$ at the point $x_{0}$ is given by: $y=y=f(x_{0})+f'(x_{0})(x-x_{0})$ The correct answer is D)