A) Which X-vakes in the interval (3,3] gire: max f'(x) Interval [-3,3) gives: BWhich b in the min 5 E)dx ) Which b in the interval [-3,3 ]ives: maxso f(x) dx -3

Q: Given f(n) sketch a) f'(n) -1 b) F"(x) f(x)

A:

Q: Please

A: Given function is Differentiating both sides with respect to x , we get

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

A:

Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: '5 7 f(x) dx = 11, evaluate 15 Given f(x) dx = 19 and 7 (a) f(x) dx.

A: Given : ∫05fxdx = 19∫57fxdx = 11

Q: 는(csc-1(324)) = d SC dx

A:

Q: So, L' (e^ F (4)) = f (t-a) ua (t) Now 2 [(5m) in en -e. it los (i) L uk [sint} 2k --(4-k)s - ille…

A:

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

A:

Q: List all intervals for which there are possible unique solutions (t-5)x''-ln(t)y'-y=et

A:

Q: Using the Quotient Rule Find and simplify the following derivatives

A:

Q: (4) Consider f(x) = x5 + xª + 1. (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: (d) Consider a given function: fx=x5+x4+1 Let gx=f-1x. Find g'1.0488 when domain of f is restricted…

Q: f(x) = 1/(1+e^1/x) a) Find the domain of f. b) Find the inverse of f.  c) Find the range of f.

A: a) Domain is possible values of x.For 1/x we can not have zero in denominator. So, domain is all…

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…