for the functions below: a) if y-sinu, u-3x+n find dy/dx at point(0,1) b) Find for the function y =+ V1-x c) if xy + cosy + sin-ly+ In(x) +3* = 2 then find y' dr

Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

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A: As per the company guidelines,we can only solve first 3 sub parts, kindly post rest parts…

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: Suppose y is a function of x. Find y' given csc-1y + xy = sec 1 y.

A: Given, csc-1y+xy=sec-1y

Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: A mass attached to a vertical spring has position function given by s(t) = 8 sin(3t) where t is…

A: Given data : Position function , s(t)=8sin(3t) where t is measured is sec and s(t) in cm.

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: Use the rule for square roots: f'(x) 2/ F(x) V F(x) to find the following derivatives (quickly d V…

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Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: 3. Find the derivatives: 3x3-4 a) f (x) = b) y = (x2 + 6x + 2) (+ Vx5 + 3) DO NOT SIMPLIFY 2x²+3 c)…

A: a) Use quotient rule of derivative and find the derivatives of above function.

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: 17/3 cos (t)h(sinct)) dx

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Q: IV. Implicit differentiation 1. xy + y? = 1, find y? 2. x²y – xy? + x² + y² = 0, find y' 3. x? – xy…

A: Given: 1.xy+y2=1 , 2. x2y-xy2+x2+y2=0 3. x2-xy+y2=3 4. x3y+xy2=3 and x=1

Q: Ql:- Find the domain of the following functions a) S(x) = sin"*(2 – 3x) b) f(x) = sec"*(x – 2)

A: we have to find domain

Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: If y=sin(tan(3x)), then dy dx Check = Select one: O a. 3cos (tan(3x))sec²(3x) O b. cos…

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Q: Q2) Find the general solution for this equatio- y" + (tanx-2cotx)y' + (2cot²x)y = 0 If you know that…

A: Given differential equation It has one solution Lets use method of reduction of order.Assume the…

Q: Calculate facos xdx . (a) rsinr – casz+c (b) Icosz+sin x+c (c) zcost-sin x+c (d) Isinz+cOSI+C (e)…

A: Formula for integral by parts :        ∫u(x).v(x) dx=ux∫vxdx - u'x∫∫vxdxdx+…

Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: Q1) Find the first derivative of the following equations: y = x'V

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

A: Given; y^2+x^2=siny+4

Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et…

A: To find f't of the given function.ft=e3t+sint2t

Q: Q3) find the derivative of each function: Dy = secx + tanx)(secx-tanx) 2)y (sin) = 1-x'y 3) find .y…

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