H.W (1) 1. Use the definition f (2) = lim +) - 7(e to find the first derivative for the function f(2) = 2 -1. 2. Write the equation of the tangent line to the curve y= -r+2 at the point P(1, 2). 3. Use the definition to find a formula for the slope of the tangent line to graph of S(x) = 5at a general point ra- 4. If y V-2, find by definition. 5. If f(z) = 5z2 - 3r find f'(r), then caleulate the slope of the tangent line at z=4. 6. If f(z) = 3r -z find f(z), then find the equation of tangent line at z= 5.
H.W (1) 1. Use the definition f (2) = lim +) - 7(e to find the first derivative for the function f(2) = 2 -1. 2. Write the equation of the tangent line to the curve y= -r+2 at the point P(1, 2). 3. Use the definition to find a formula for the slope of the tangent line to graph of S(x) = 5at a general point ra- 4. If y V-2, find by definition. 5. If f(z) = 5z2 - 3r find f'(r), then caleulate the slope of the tangent line at z=4. 6. If f(z) = 3r -z find f(z), then find the equation of tangent line at z= 5.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:H.W (1)
f(r + h) - f(x)
1. Use the definition f (r) = lim
to find the first derivative for the function
f(x) = 2r - 1.
2. Write the equation of the tangent line to the curve y =r-r+2 at the point P(1, 2).
3. Use the definition to find a formula for the slope of the tangent line to graph of
S(x) =
I+2
at a general point ro
If y = VE-2, find
dr
inition.
5. If f(x) = 5r2 - 3r find f'(x), then calculate the slope of the tangent line at r= 4
6. If f(z) = 3r -z find f'(r), then find the equation of tangent line at r= 5.
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