plzzzzzzzz help with number #2 only Thank you 1) Find the hundredth derivative of p (x) = (x + x³ + x")1º (1+ x²)!' (x³ + x³ + x"). Justify your answer.2\112) Use the Chain Rule to express the second derivative of fogin terms of the first and second derivatives of f and g.3) Show that for any constants M, k, and a, the function´k(t –— а)y(t)M1+tanhsatisfies the logistic equation:= kl 1Note: The function tanh is the hyperbolic tangent function 2: tanh x =et- e2x1et+e-x2x+14) The lemniscate curve (x2 + y² )² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted that it is"shaped like a figure 8, or a knot, or the bow of a ribbon." Find the coordinates of the four points at which the tangentline is horizontal.

Answered: Image /qna-images/answer/e722a60a-fad2-4275-b2e4-d23afcc33eab.jpg

Answered: 2) Use the Chain Rule to express the…

Math

Calculus

2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second derivatives of f and g.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

plzzzzzzzz help with number #2 only Thank you

1) Find the hundredth derivative of p (x) = (x + x³ + x")1º (1+ x²)!' (x³ + x³ + x"). Justify your answer.
2\11
2) Use the Chain Rule to express the second derivative of fogin terms of the first and second derivatives of f and g.
3) Show that for any constants M, k, and a, the function
´k(t –
— а)
y(t)
M1+tanh
satisfies the logistic equation:
= kl 1
Note: The function tanh is the hyperbolic tangent function 2: tanh x =
et
- e
2x
1
et
+e-x
2x
+1
4) The lemniscate curve (x2 + y² )² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted that it is
"shaped like a figure 8, or a knot, or the bow of a ribbon." Find the coordinates of the four points at which the tangent
line is horizontal.

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