5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(sin3t)cot (sin3t) Find the indicated nth derivative of the following: 7. 250th derivative of y = sin7x ans. y(250) = -7250 cos7x 85 cos ans. y(85) = - )"sin x 8. 85th derivative of y = CO

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: х — 2 sin? 3x 11.у %3D 2x2

A: Since we are given with multiple question and our guideline is solve first question only kindly…

Q: d²y d²y dy + d dt. d dy dy = ay + by dt dt. dt dt2 dt2 dt

A: We find the value of a,b,c and d.

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the…

Q: (c) y = e-a sin(ax + 3). (e) y = tan(5x) 52+1 (d) y = a √a² + x²

A: (d/dx)(af(x)) = a(d/dx)(f(x)) , where a is constant. (u.v)' = u.v'+u'.v (u/v)' = (v.u' - u.v')/v2

Q: d 50. (8u3/4 + 4и 1/4) du

A:

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: State the derivative

A:

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 2. Find the derivative of the functions, a. y = 5x+9.r + 12.r2-7r

A:

Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

A:

Q: d {(1 — 2г + 3а4)7)} dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

A:

Q: 6. y = cos(sin x)

A:

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: (q) f(x) = sin(sin(sin(x)))

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: (x – 1)(2x² – 1) (x³ – 1) 6. h(x) = - x + 1 8. h(x)

A:

Q: y = x²e*tan4x %3D

A: Product rule (u v)'= u'v + u v'

Q: 2. у%3D (4x? - 6х) сos(2 — 5х)

A: Given function is: y=4x2-6xcos2-5x We have to find the derivative of y with respect to x.