For each slope below,
enter the value correct to four decimal places.
Let
f ( x ) = 9.1 x 2 − 7.8 x \displaystyle {f{{\left({x}\right)}}}={9.1}{x}^{{2}}-{7.8}{x} f ( x ) = 9.1 x 2 − 7.8 x . Using the formula,
m = f ( x + h ) − f ( x ) h \displaystyle {m}=\frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}} m = h f ( x + h ) − f ( x ) , estimate the slope of the tangent line on the graph of
f ( x ) \displaystyle {f{{\left({x}\right)}}} f ( x ) at
x = 2 \displaystyle {x}={2} x = 2 for the following values of
h \displaystyle {h} h :
h = 1 \displaystyle {h}={1} h = 1 :
m = \displaystyle {m}= m = Preview Question 6 Part 1 of 5 h = 0.5 \displaystyle {h}={0.5} h = 0.5 :
m = \displaystyle {m}= m = Preview Question 6 Part 2 of 5 h = 0.1 \displaystyle {h}={0.1} h = 0.1 :
m = \displaystyle {m}= m = Preview Question 6 Part 3 of 5 h = 0.01 \displaystyle {h}={0.01} h = 0.01 :
m = \displaystyle {m}= m = Preview Question 6 Part 4 of 5 h = 0.001 \displaystyle {h}={0.001} h = 0.001 :
m = \displaystyle {m}= m = Preview Question 6 Part 5 of 5 Submit Try a similar question
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)