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[DOCX File]Department of Mathematics
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y= 4 cos x + 1 tan x 8. y= x 2 cos x -2x sin x -2 cos x . 9. y= tan x 1+ tan x 10. y=(1+ csc x ) cos x . Find the derivatives of the following functions. 11. y= 12 x 4 -8 x 2 +5 e x 3 12. y= 1+ cos x sin x -1 . 13. y= sec x tan 1 x 14. y=4 sin 1+ x . Find the derivative of y with respect to x. ...
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[DOC File]Calculus 1 Lecture Notes. Section 2.6
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The shortcut for taking the derivatives of the six trigonometric functions is to memorize the formulas in the table below. Big Skill: You should be able to take the derivative of functions made up of combinations of trigonometric and power functions. ... Divide through by ½ sin θ ( 1 < < ( 1 > > cos θ ...
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[DOC File]Section 1
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Section 3.1: Derivatives of Polynomials and Exponential Functions. SOLs: APC.5: The student will apply formulas to find the derivative of algebraic, trigonometric, …
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[DOC File]Derivatives of Inverse Functions – Notes
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If sin y = x, what is cos y = ? (See figure below) cos y = = dy/dx = 1/cos y or Derivatives of Inverse Functions – Notes (2) 3. Given with , (a) Find . and . and then we’ll use: to get: (b) Use implicit differentiation to find . To find the inverse function for y = Tan x, we exchange the ‘x’ and the ‘y’ to get:
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[DOCX File]Product Rule
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Use the quotient rule to find these derivatives. d dx 4 x 2 -1 x+3 . d dx sin x cos x . Putting it all together… Combo time! Now we have two very useful tools, let’s put them together to find the derivative of some more complex functions. Try it! Find the derivative of the following functions.
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[DOC File]Calculus 1401: Exam 2
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Calculus 1501: Practice Exam 1. 1. State the following definitions or theorems: a) Definition of a function f(x) having a limit L. b) Definition of a function f(x) being continuous at x = c
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[DOCX File]content.njctl.org
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Derivative Rules: Trigonometric Derivatives – Homework. Find . dy dx . y= x 3 cos x . 224. y= sec x x 2 225. y= cot (4 x 2 +9) y= sin ( cos sin x ) 227. y= tan (x+ cos x ) 228. y= sin x 4+ cos x Find . f ' π 6 . f x = cos x sin 2 x . 230. f x =4 tan 2 x 231. f x = sec x sin x Find the equation of the normal line to . f x = cos ( sin …
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[DOC File]Lesson Plan Template - Hollywood High School
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Jun 14, 2011 · Knowing the deriatives of sin(x) and cos(x), one can easily compute the derivatives of the other circular trigonometric functions because they can all be expressed in terms of sine or cosine; the . quotient rule. is then implemented to differentiate this expression. Proofs of the derivatives of sin(x) and cos(x) are given in the proofs section ...
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[DOC File]AP Calculus Assignments: Derivative Techniques
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15. Review the graphs of and and then use nDeriv on your calculator to graph the derivatives of those functions. From the graphs, determine the derivatives of and . 16. A problem on a long-ago homework assignment said: Estimate the value of the following limits. Then put the answers in your brain. a. b. Retrieve those answers from your brain.
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[DOCX File]Calculus
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Derivatives of the Trig Functions. In the next few classes we will be finding the derivatives of the six trigonometric functions. We will start with the sine and cosine functions. Here is the sine function: 1. On your calculator, graph the sine function matching the same window as above (make. sure you are in RADIAN mode). 2.
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Derivatives of sin and cos