Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 24x3 − 18x2 + 10x   f(x) =

Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: Find f if f' (x) = 20x³ + 10x+7 and f(1) = -2. Answer: f(x) =

A: Given: Now, Using:

Q: For the function f (x) = 5a- 7x +4r + 3 %3D a. Find f '(x) b. Find f" (x) c. Find f" (0) and f “ (2)…

A:

Q: If f(x) = 7+ 7x – 4a², find f'( – 3). %3D

A:

Q: for

A:

Q: A mouse on a tightrope is moving such that its position relative to some fixed point is given by…

A:

Q: If f(x) = 7x²7x - 34, find f'(x).

A: f(x)=7x2-7x-34

Q: Let Y be the yield of an apple orchard in bushels per acre, and let x be the number of pounds of…

A: Simple equation and derivative

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

A:

Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Find fif f'(x) 12x3 + 6x + 7 and f(1) = 2. Answer: f(x)=

A:

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Find f'(x) and simplify. f(x) = (0.2x + 2)(0.6x - 9) Which of the following shows the correct…

A: f(x)= (0.2x+2)(0.6x-9)

Q: For f(x) = x² x² Saldainia x a. f(2)=[ b. f' (2) = [ c. f(3) = f(2)= 4. find f(2). f'(2). and f(3)…

A:

Q: Solve X' ||

A:

Q: Find f'(x) and simplify. f(x) = (0.3x + 7)(0.7x-6)

A: The given function is f(x)=(0.3x+7)(0.7x-6).

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.