Feel free to use desmos graphing to do this and just take a screenshot of your graph. (i) f(x)=6-x²; (1,2) (ii) f(x)=x+; (1,3)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Please assist with the below. Please do not use hand writing 

Feel free to use desmos graphing to do this and just take a screenshot of your
graph.
(i)
f(x)=6-x²; (1,2)
(ii) f(x)=x+; (1,3)
3. Find the derivative of the following functions using the definition of the sine
and cosine function.
(a) f(x) = sin(4x + 7)
(b) f(x) = sinx - cosx
(c) f(x) =
COSX
sinx
4. Find the derivative of the following exponential and logarithmic functions:
(a)
(i) ecosx-sinx
(ii) In(3x +4)
(b) Use L'Hospital's rule to determine the following limits:
log₂ x
(i) limx→o
3sin5x
6x
(ii) limx→∞0 log3 x
Transcribed Image Text:Feel free to use desmos graphing to do this and just take a screenshot of your graph. (i) f(x)=6-x²; (1,2) (ii) f(x)=x+; (1,3) 3. Find the derivative of the following functions using the definition of the sine and cosine function. (a) f(x) = sin(4x + 7) (b) f(x) = sinx - cosx (c) f(x) = COSX sinx 4. Find the derivative of the following exponential and logarithmic functions: (a) (i) ecosx-sinx (ii) In(3x +4) (b) Use L'Hospital's rule to determine the following limits: log₂ x (i) limx→o 3sin5x 6x (ii) limx→∞0 log3 x
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