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: The y' of the given function is (1–2 sin? 4x) y

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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: S sin 2x sin 4x dx 7.

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Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

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Q: d° Find -(x* In x). dx

A: To obtain d9dx9x8lnx. Compute the derivatives.…

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: 4 Find (b) y = 9. sin 2x.

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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: For the cardioid r  =1+ sin0 of Example 7, find the slope of the tangent line when  0=pi/ 3

A: Then plug this in the slope of the tangent formula

Q: Use Trigonometric Substitutions dx 1. xVx +16 x*dx (x² – 1)"2 2. 3/2

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

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