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MA 181 Written Assignment 4 Due: Wednesday, Feb. 19th at the beginning of class Be sure to written neatly and clearly on another sheet of paper. This is not a worksheet. Always show your work and...

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MA 181 Written Assignment 4
Due: Wednesday, Feb. 19th at the beginning of class
Be sure to written neatly and clearly on another sheet of paper. This is not a worksheet.
Always show your work and justify your answers. Unstapled homework will not be
accepted.
1. Use the limit definition of the derivative of a function to show,
d
dx
[cf(x)] = cf ′(x)
where c is a constant and f(x) is a differentiable function.
2. Use the rules of differentiation to find the derivative of the following functions:
(a) y = x + 3
x2
+ 9
(b) f(x) = 4x5 − 2x4 − 3x3 + 5x2 − 87x + 2020
(c) h(t) = t7 − ( 3
√
t)5
(d) y = (x4 + x3 + 7x)(ex + 67)
(e) g(u) = x
2−9
x+ex
3. Find the tangent line to the graph of the function f(x) = 3
√
x at x = 8.
1
wra-4-181-ipewmw3p.pdf
Answered Same Day Feb 19, 2021

Solution

Parvesh answered on Feb 19 2021
130 Votes
New Doc 2020-02-19 14.04.13
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