QI / Find dy/dx by using the definition of derivatives for the following functions; 1. y = 1. y = = 2. f(x) = x³ 3. f(x) = x² – 5x + 9 4. f(x) = 1/x²

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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o H.W 2- Mathemati... >
Mathematics I / H.W2 / -3-a
(2020-2021)
Q1 / Find dy/dx by using the definition of derivatives for the
following functions;
1. y =
2. f(x) = x³
3. f(x) = x² – 5x + 9
4. f(x) = 1/x²
Q2 / Find dy/dx for the following functions;
1. y = Vtan(sin(x² – 1))
2.습(1+ cot x)3)
3.
Q3 / Find d²y/dx² for the following;
1.Gsec 3:)
2. x = t - t3, y = 2t + 5
Q4 / Find the angle between the curves
x² = y & y? = x
Q5 / Sketch the graph of function
%=+ 3x
y =
II
Transcribed Image Text:o H.W 2- Mathemati... > Mathematics I / H.W2 / -3-a (2020-2021) Q1 / Find dy/dx by using the definition of derivatives for the following functions; 1. y = 2. f(x) = x³ 3. f(x) = x² – 5x + 9 4. f(x) = 1/x² Q2 / Find dy/dx for the following functions; 1. y = Vtan(sin(x² – 1)) 2.습(1+ cot x)3) 3. Q3 / Find d²y/dx² for the following; 1.Gsec 3:) 2. x = t - t3, y = 2t + 5 Q4 / Find the angle between the curves x² = y & y? = x Q5 / Sketch the graph of function %=+ 3x y = II
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