5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and b such that f'(1) = g"(3) and f"(2) = g'(4).

Q: Find f. f ''(x) = 20x3 + 12x2 + 10,    f(0) = 4,    f(1) = 2

A:

Q: What is A’(x) for this picture?

A: We need to find A'(x).

Q: '= -x+y - 8

A:

Q: ® Find ('-x"]* d x [itx"]?

A: The given integral is:

Q: Find F'(8) and F''(8).

A: We need to use second fundamental theorem of calculus with f(t)= sqrt(t^2+17) and a=8

Q: 1-2 h(r) = 1=7²³²₁ 2-3 . Find h' (1).

A:

Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

A:

Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: Give two function f(x) and f(x) such that the f''x is equal to -2.

A:

Q: Find f. f ''(x) = 4 − 18x,    f(0) = 8,    f(2) = 8

A:

Q: "(x) = a".

A:

Q: Find f''(x) for the function. In x 8x f(x) = O A. O B. O C. O D. -7-2 Inx 9x3 - 3+2 Inx 8x3 In x 8x³…

A:

Q: Find f. f ''(x) = 20x3 + 12x2 + 4,    f(0) = 6,    f(1) = 1 f(x) =

A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

Q: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: Find f. f ''(x) = 4 + 6x + 24x2,    f(0) = 5,    f (1) = 14

A: To find out the function f whose double derivative and some initial conditions are given.

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: B. f(x)=ln 5x² sin x (x+7)

A: We have to find the f'(x).

Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

A:

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: (ii) Show that {Xt} is stationary.

A:

Q: Let f(x)= = 4x² tan(x) sec(x) 1. f'(x)= 8x*sinx+4x^2*cosx 2. f'(1)= . Find the following:

A:

Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: f 41 46 8

A: Answer

Q: Find f. f ''(x) = 20x3 + 12x2 + 4, f(0) = 5, f(1) = 2

A: The objective is to find f .