In Exercises priate variable. 21. y = cos (r) 23. y = sin-'V21 25. y = sec (2s + 1) find the derivative of y with respect to the appro- 22. y = cos (1/x) 24. y = sin(1 -1) 26. y = sec5s

Q: Find the derivative of the function. Simplify where possible. y = (tan-'x)? y = tan-'(x²) y =…

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Q: z = sin-1(x/y)

A: z=sin-1xy Now, partially differentiate the function with respect to x and y. zx=∂∂xsin-1xy=11-xy2∂ ∂…

Q: Find the 3rd derivative of the function y (2z-8z2 +3) (z+3) O y"=120z2 192z + 42 120, 198z + 72 =…

A: We need to find the 3rd derivative of y=2x3-8x2+3x2+3 . So,      y'=2x3-8x2+3x2+3'…

Q: 9. y- 6r - 10r - 5

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Q: Find the derivative of y with respect to 0 y = 8e°(sin e - cos €) O 16e° sin e 8e (sin e - cos 0) +…

A: Given. We are given function of Y and theta and we need to find the function dY/d theta The concept…

Q: Question 6 Direction: Find the derivative of the function. Not yet y = -r² +3 answered Marked out of…

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Q: You want to differentiate Y = E coe) so you take the the natural log of both sides, first. What is…

A: Consider the function y=lny.

Q: "(x) = (sin(2æ + 1))²/*.

A: Consider the given function: Using the chain rule for differentiating the values in the function.

Q: Use implicit derivative to fine y' for the expression given below: yx - x = x² 2x-y Onone of the…

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Q: Find the derivative. y (cscx+ cot x)( csc x- cotx) OA. y' 1 B. y' 0 Xcy= - csc x cot x CSC X CotX D.…

A: Differentiate function

Q: Find an equation of the tangent line to the graph of the equation at the given point. x + x arctan y…

A: We can find the equation of tangent line with all steps as below.

Q: Find the derivative. y = ( csc x+ cot x)( csc x- cot x) O A. y' = - csc x cot x B. y' = - csc 2x Oc.…

A: To find the derivative of given function.

Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: Evaluate the following and determine the second derivative Find y' if x2+ 4x + y = 0

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Q: 7. Use implicit differentiation to find the slope of the tangent line to the curve 3(28x + y)/2 = 5y…

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Q: d If n is a positive integer, one can show that (sin" x cos nx) : appropriate differentiation rules…

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Q: Find y' and y". y = V sin(x)

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Q: 6. -/1 points SCALCET8 3.5.524.XP. Find the derivative of the function. y = 15 arctan( Vx) y' = Need…

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Q: есх Find the derivative of y = Arccot (tan(esec*)) in its simplest form secr

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Q: Find the derivative of y = Arccot (tan(esecx)) in its simplest form %3D A. y' = e Sec*secxtanx B. y'…

A: This question is related to differentiation, we will solve it using given information.