I need detailed help with A,B, C,D, and E. I really want to understand the material. Thanks a lot (3) Find the following derivatives. Show clear, complete work. Do not simplify! I want tosee the differentiation steps involved, not the algebra simplifications or the end-result of acalculator computation. Here is an example of what I am looking for:(4y + 1)²tan (5y)Problem: Given h (y) =find h' (y)2 (4y + 1) · 4 · tan (5y) – sec² (5y) · 5 · (4y + 1)²tan? (5y)-Solution: h' (y)(A computer or calculator might give an answer like h' (y)8(1+4y)tan(5y)5(1+4y)² sec(5y). Thistan(5y)2answer would receive zero points.)(a) Let f (x) = xª-1 (1 – x)°-', where a, b > 1 are integer constants. Find f' (x).(b) Given h (r) = tan (3r ln (r)), find h' (r).(c) Find desin(cos x).(d) Given P = tan-1 (x²), find P(e) Given xy? + 3x = 2y4 + x², find y'. (Your answer should be solved for y', in terms of xand y.)

Name: I need detailed help with A,B, C,D, and E. I really want to understand
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Description: I need detailed help with A,B, C,D, and E. I really want to understand the material. Thanks a lot (3) Find the following derivatives. Show clear, complete work. Do not simplify! I want tosee the differentiation steps involved, not the algebra simplif

Answered: Image /qna-images/answer/547ddd92-50ed-412e-bed9-71169287042f.jpg

Math

Calculus

(a) Let f (x) = xª-1 (1 – x)°-', where a, b > 1 are integer constants. Find f' (x). (b) Given h (r) = tan (3r In (r)), find h' (r). (c) Find 4esin(cos a). dr (d) Given P = tan-1 (x²), find P dx² %3D (e) Given ry? +3x = 2y4 + x², find y'. (Your answer should be solved for y', in terms of x and y.)

(a) Let f (x) = xª-1 (1 – x)°-', where a, b > 1 are integer constants. Find f' (x). (b) Given h (r) = tan (3r In (r)), find h' (r). (c) Find 4esin(cos a). dr (d) Given P = tan-1 (x²), find P dx² %3D (e) Given ry? +3x = 2y4 + x², find y'. (Your answer should be solved for y', in terms of x and y.)

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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I need detailed help with A,B, C,D, and E. I really want to understand the material. Thanks a lot

(3) Find the following derivatives. Show clear, complete work. Do not simplify! I want to
see the differentiation steps involved, not the algebra simplifications or the end-result of a
calculator computation. Here is an example of what I am looking for:
(4y + 1)²
tan (5y)
Problem: Given h (y) =
find h' (y)
2 (4y + 1) · 4 · tan (5y) – sec² (5y) · 5 · (4y + 1)²
tan? (5y)
-
Solution: h' (y)
(A computer or calculator might give an answer like h' (y)
8(1+4y)
tan(5y)
5(1+4y)² sec(5y). This
tan(5y)2
answer would receive zero points.)
(a) Let f (x) = xª-1 (1 – x)°-', where a, b > 1 are integer constants. Find f' (x).
(b) Given h (r) = tan (3r ln (r)), find h' (r).
(c) Find desin(cos x).
(d) Given P = tan-1 (x²), find P
(e) Given xy? + 3x = 2y4 + x², find y'. (Your answer should be solved for y', in terms of x
and y.)

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