y = (2x2 + cotx)³ P a. y' = 3(2x² + cot(x))² (4x – csc²(x O b. y' = 3(2x2 + cot(x))² (4x – cot?(x) P C. y' = 3(2x² – cot(x))² (4x + csc²(x O d. y' = 3(2x² + csc²(x))² (4x – csc²(x -

Q: 4 find f'(3). x2 If f(x) =

A:

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

A:

Q: Find the derivative of each function. y = 5- cscx h(x) = 2x tan(x) sine cot x g(x) : f(x) = y = 5x…

A:

Q: sin(3u) 4u

A: Given; Integration of x9sin(3u)/(4u) limit from x5 to x6.

Q: Find the derivative of each expression. - tan-(Vx) tan(e*) sec-(3 In x) dx dx

A:

Q: determine

A: We will find the derivative using product rule and chain rule.

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: 13. y = sin x+cos² x 14. y = tan r+sec? x

A: Given: 13.y= sin2x+cos2x 14.y=tan2x+sec2x

Q: Find the first and second derivatives of the functions

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

Q: 10. y = 5x2 + tan(x) 10x-sec2(x)) y' : 2/5x²+cot(x) a. o b. y' = 10x+sec²(x)) 5x²+tan(x)…

A:

Q: Determine the derivative of the given function

A:

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

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. у%3D (3х + 1)8 a. y' = 24(3x)7 оъ. у %3 3(24х + 1)" О с. у'3D 24(3х + 1)" O d. y' = 8(3x + 1)7

A:

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: Find the first and second derivatives of the function. f(u) = V7 - 5u f'(u) f"(u)

A: Given function f(u) = 7-5uWe find first and second order derivative.

Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132