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Find the derivative of the following and cosine function. (a) f(x) = sin(4x+7) (b) f(x) = sinx-cosx (c) f(x)= cosx sinx

Find the derivative of the following and cosine function. (a) f(x) = sin(4x+7) (b) f(x) = sinx-cosx (c) f(x)= cosx sinx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer question 3 

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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