Which of the following functions could be evaluated without using the Chain Rule? Select all that apply. O S (z) 3 tan? x O z= vsin t Of (x) = tan(cos x) O y = tanr cos x OT (7) = (3v+7) O A (z) = tan(32²)

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

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Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

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Q: Differentiate implicitly the function y(x) given by the equation y=cos(x+y).

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Q: What is the rule of a function of the form f (a) = a sin(br +c) +d or f (x) = a cos(br + c) +d whose…

A: We are asked to find the equation of the graph.

Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

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Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: g(x) = tan(sin²(x)) + e², +e?

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Q: Differentiate the function.  f(x)=cos{sin(tan(pi*x))}1/2

A: Given f(x)=cos{sin(tan(pi*x))}1/2

Q: Find f g h. f(x)= 10x-1 g(x) = sin x h(x)=x² fog.h= Please answer all parts of the question. fog.h=…

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Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

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Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

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Q: find dz/dx and dz/dy for the following expression z =  tan-1 [(x+y)/(1-xy)]

A: This question is based on diffrentiation of function.