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WB2.1 - Rates of Change and Tangent/Normal Lines

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Last updated over 5 years ago
8 questions
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Question 1
1.

Is it possible to find the tangent line of the function at a x=0:

f(x)=\begin{cases} -x, & x<0 \\ x^2-x, &x \geq 0 \end{cases}

If yes, find it. If no, explain why not.

Question 2
2.

Is it possible to find the tangent line of the function at a x=2:

f(x)=\begin{cases} -x, & x<0 \\ x^2-x, &x \geq 0 \end{cases}

If yes, find it. If no, explain why not.

Question 3
3.

Find the tangent line of f(x) at x=-3 for f(x)=x^{2} - 4x.

Question 4
4.

Find the normal line of f(x) at x=4 for f(x)=x^{2}-4x.

Question 5
5.

Find the secant line of f(x) over the interval [-1,2] for f(x)=x^{2}-4x.

Question 6
6.

Find the normal line of g(t) at t=0 of g(t)=2t^{2}-5.

Question 7
7.

Find the secant line of k(w) at w=3 of k(w)=4w^{2}-3w.

Question 8
8.

Find the tangent and normal slopes of f(x) at x=4 of f(x)=3x^{2}-9 and the secant slope of f(x) over the interal [-3,1].