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Let f(x)=5x2 a) Use the limit process to find the slope of the line tangent to the graph of f at x=2. Slope at x=2: b) Find an equation of the line tangent to the graph of f at x=2. Tangent line: y= 

          Let f(x)=5x2
a) Use the limit process to find the slope of the line
tangent to the graph of f at x=2. Slope at x=2:
b) Find an equation of the line tangent to the graph
of f at x=2. Tangent line: y=

Added by Anthony C.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Let f(x)=5x2 a) Use the limit process to find the slope of the line tangent to the graph of f at x=2. Slope at x=2: b) Find an equation of the line tangent to the graph of f at x=2. Tangent line: y=
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Transcript

-
00:01 Hi, there is a question.
00:02 This a curve that is parabola is being given and i need to use limit process to find slope of line tangent to the graph of f at x equal to 2.
00:13 So the slope m will be limit x approaches to 2 fx minus f2 divide by x minus 2 that would be limit x approaches to 2 fx 5 x squared minus 5 into 2 squared divide by x minus 2 so limit x approaches to 2 5 will be taken as common so x squared minus 2 minus 2 minus 2 limit x approaches to 2 5 into x minus 2 into x minus 2 into x plus 2 so we'll get cancelled out so 5 into 2 plus 2 which is 20 so 20 is the slope of tangent.
01:12 Now i need to find an equation of tangent line to the graph at x equal to 2...
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