Chapter 7.5, Problem 2QQ

Find f.   Need help with both a. and b. Thank you, will upvote

Differentiate the function. 6. 2. y=- + 2. TC %3D x² +1 Choose the correct setup below to differentiate the function. d. d. (x² + 1) • (2) + 2 (x² + 1) d. 9. dx dx y' = xp 2. TC 2. d (x² +1). ) ( +1) (6(x²+1) + 2m) = (6(x + 1) + 2n dx y' = %3D (x² + 1)? (x² + 1) ax" (2) – 2. (x² + 1) 2+1) dx 6. y' = dx (x² + 1)² TC (x2+1).유 (6(x2+ 1) +2m) + (6(x2+1)+ 2x). ( (6(x² +1) + 27) + (6(x² + 1) + 2x) (x²+1) dx y' = - (x² + 1)² (x²+1)· dx 2) - 2. dx (x² + 1) d. y' = 6. TC (2)2

d Given  = and B = x², and for dx arbitrary f(x) II. Calculate for the following: (1) ÂBƒ(x) (ii) Bƒ(x) I. Calculate for the following: (1) ²ƒ(x) (i) [ƒ (x)]° Are the two equivalent or not? Are the two equivalent or not?

Select multiple answers if applicable. I will rate and like. Thank you for your work!

Find two antiderivatives of f (x) = cos x. Then determine the general antiderivative.

f (0. 80108) = sin 3 (0. 80108) + cos 2 (0. 80108) – (0. 80108)? %3D

Multiple choice easy.

Answer all questions: for y dx ()(V). Q1: Find an expression of d Q2: Find an expression of for y = x 2*. Hint: (a*) = a* × (x) × In a). %3D dx dx Q3: Find an expression of for t y = sin (Vx). e cos(x³) dx Q4: Find an expression of dy for y = (In x*)². Hint: Use logarithm power rule to simplify dx it. dy Q5: Find an expression of dx for y = tan-[In(sin(cos(12x)))]. log2(x²) is equal to ỹ 2[1-log2 x² In 2] dy Q6: Prove that or y for expression y = %3D dx x2 x3 In 2 Q7: Calculate the derivative at the point (1, 1) of the function given by following the equation: x - y = In(xy) where xy > 0 dy Q8: Find an expression of for expression x + y = e*-y. dx Hint: (take natural logarithm (In) for both sides before starting differentiation). Q9: If F(x, y, z) = |sinh¯ (sin-1 (In (/sin(cos(x²)))))| y² + zyx + y, find and %3D ду əz az and ax sin(3x+2y) az Q10: If z = find ху ду

Find y if: (a) y = (In r) cos " (b) y = In(x² + y²).