cos(x) Find the derivative of cot(x) by using sin(x) the quotient rule on this form, and then simplify your answer (using trig identities as needed) so that it matches the formula you were given for the derivative of cot(x). cot(x) = =

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. Use…

A: To find:- xy2 + sin(πy) -2x2 = 10  To find:- Equation of tangent at point (2, -3) on given curve

Q: 5. Use implicit differentiation of sec(y) = e* to find the derivative of y = sec-(e"). You may use…

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Q: Evaluate and then simplify the derivative of the following function. Use trig identities or a right…

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Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: Question (2): Answer the following (A) Find the first derivative of the following function: 1+ cos2x…

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Q: Determine the derivative of the following function: a) f(x) = 2 sin x cos x f(x) = sin² a X

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Q: Question 2

A: The derivative of the function is computed as follows.

Q: Let f(æ) = 9 sin(cos(x²)) || f' (x) =

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Q: Use the quotient rule (you can use direct derivative)to drive the given equation: d cot(x) = – csc?…

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Q: -sin x 0 [cos x - If f (x) = | sin x - 0, show that f(a)f (b) = f (a + b). 1] cos X %3D 0. 0.

A: Given: Here, f(a)=cosa-sina0sinacosa0001, f(b)=cos b-sin b0 sin bcos b0 001. Now,…

Q: Using the derivatives of trigonometric functions, the derivative of y= cos (z Aý = - sin (z) B. V --…

A: We have to find derivative

Q: b) H(x) = (3 sin x + 5 cos x) e²

A: Given query is to find the derivative of the function.

Q: Question (4): Find the first derivative of the following function: y = sin (x - x*)

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Q: d The derivative of the sine function is the cosine function: d (sin x) = cos x

A: We will use the definition (the first principle) of derivatives to find the derivative of sin(x)…

Q: 1. Simplify the expression, that is, rewrite the following expressions as algebraic expressions of…

A: (a)  J=sec(arctan(x3))lrt tan-1(x3)=ytan(y)=x3we know 1+tan2x=sec2x

Q: the stated branch of the multiple-valued function z¹/2 and principal branch of In(z) to find the…

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