(b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

Q: Find f. f(x) = f '''(x) = cos(x), f(0) = 9, f'(0) = 1, f ''(0) = 9

A:

Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

A:

Q: (a) y = In(sec²x) (b) y ecos + cos(e) x² −1+2 (c) y = x (d) y = sin² (e) y = (f) y = (cos(√sin(x)))…

A: Let's consider  the properties of differentiation.Let f(x) and g(x) are two different function…

Q: Find f if f'''(x)=cosx,f(0)=1,f(0)=1,f'(0)=2,f''(0)=3

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

A:

Q: d dx x= ||

A: Given that

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: 1) For each of the following functions, f(x), find f'(0). (a) f(x)= –30x² + 3x (b) f(x) = x²e"…

A:

Q: find where f'(c)=0 f(x)=-cos4x

A: Given, function

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: f(5)(x)

A: