15-36. Evaluating derivatives Evaluate and simplify the following derivatives. x³ + mx³ + 2x + 9 ) 16. dx (Vī + 1) (3ª + 4) dx 15. d 17. -(9e* sin x) dx -(5 cos®x – 6 cos x³) 18. dx 19. dx [cot x•(V3 – 4e*)] d -(sec(log x") 20. dx 21. G) d (u? d 22. dx\1 - 2x du u + d 2/3 d 24. dv\2v2 + 3y + 1 3v + 2 23. de (tan(sin 20)) 25. :(5t²(cos t) V5t – 8) dt 26. _D_x)- 27. dx (r*(In x)*) 28. du cos 3u) 29. (3²+21) 30. (sin (ax + b)) dx dx -(tane*) tan. 32. dx 31. dx 33. Find f'(1) when f(x) = x* 34. Find f'(2) when f(x) = Vtan- (x/2) d d 2x 35. -(x tanx) 36. dx Cos dx 1 + x? 37 30 Implicit difforentiation Calculate v'(r) for tha followino

Q: (Implicit differentiation). Consider the curve 1/t + 1/s = 1 Find d/s = d/t Find d/t = d/s Show…

A: Given that: 1t+1s=1

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Iff is the function whose graph is shown, let h(x) = f(f(x))…

A: Let h(x) = f(f(x)) and g(x) = f(x2) (a) To find the value of h'(2) = ?  Given that h(x) = f(f(x))…

Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: Find the derivative of the function. y = sin-(9x + 1)

A:

Q: Find the derivative of the function. 4x - 5 y = 8х + 1 Choose the correct setup below to find the…

A:

Q: Find the derivative of this complex equation using logarithmic differentiation?

A:

Q: Find the derivative of the given function. y = csc (1 – a²) CSC y = 5 csc" (1 – a)(- esc° (1 –…

A: Let's find.

Q: Q5: The Derivative of sinh (tan x) ? O tan(x) O sin(x) O cos(x) O Isec(x)/

A:

Q: If f(x) = 3x(sin x + cos x), find the derivative.

A:

Q: find: (1)(1)- fog)(a) If k(x)-fCcsz) find k'() COSX

A:

Q: • Find f(22) (0), for f(0) = 2 cos(30), using pattern recognition. (Don't take 22 derivatives!) What…

A: The given function is fθ=2cos3θ.

Q: none of these answers O (4+2x+y)/(y-x) O (-4-2x-y)/(2y-x) O (4 +2x+y)/(2y -x)

A: