X = +²37₁ y = + ²3² Find the values of + that correspones to vizontal vertical tangent lines to the aph of C Find d'y in terms of t dx²

Q: Find y'. cot (1) y = 4 cot O A. O B. -8 csc (*) 4 9 CSC 9

A: Given:; Now,           y'=4cotx9'     =4cotx9'     =-csc2x9x9'      =4-csc2x919     =-49csc2x9

Q: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: 8. y = sec3 (x³ + 3) + x 9. y = cot·1Vx²- 2x

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Q: b) Find the derivative of the following, 5√/2x4-1 x3 In √7x²+5 1. d dx

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Q: Let y = cot (csc2x/x3+5). Find

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Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: Find the indicated derivative dy/dx 3.) x+xy+y=1

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: 9. у %3D 4sin' (2xх) 10.у %3D tan? (x3) 11.у %3D sec(-х2 + 3х — 4)3

A: Question 9,Given,          y=4sin32x

Q: Find the derivative of each function: 2x+3 y = Зх +2 а. b. y =x sin 2x tan x c. y = e" d. x² +xy+ y…

A: we have to find the derivative of each of function

Q: Use implicit differentiation to find given the relation arctan(5x + y) = 5x2. dx

A: First do some simplification of given relation than use the chain rule of derivative and simplify.

Q: Use implicit differentiation to find 20 27 Ans./ of the following curve at the point (2, 3). dx2 2x³…

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Q: Consider the following: 25x squared +64y squared =1600 C) differentiate the explicit functions…

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Q: 3. Find the equation of the tangent line to sin-(x - 2y) = 2ry- 1 at the point (1,

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

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Q: Find dy /dx ; for the following (sec 2x) )ه( (cos

A: We need to find dy/dx