f(x) = 1+x² Compute f(x) f'(x) f"(x) f""(x) f(iv) (x) = f(¹)(x) = = = = = ✔ f(x) = Σ k=0 f(0) ƒ'(0) f"(0) f"" (0) f(iv) (0) = f(v) (0) x²k = = || = = We see that for the odd terms ƒ(2k+1) (0) = and we also see that for the even derivatives ƒ(²k) (0) = Hence the Taylor series for f centered at 0 is given by = ✔

Q: Let f(x) = (x³ + 3x + 7)3 f'(x) = f'(4) =

A: According to question given thatf(x)=(x3+3x+7)3

Q: Let f(x): = Compute f(x) f'(x) = f"(x) = = 4 + 6x x

A: given function is  f(x)=4+6xx=4x+6 then computing following :----   f'(x)=ddx4x+6=-4x2…

Q: (-7)=|

A: Topic:- derivatives

Q: Find (f/g)'(1) if f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

A: we have been given f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: Find a function f(x) such that ƒ'(x) f(x) = – 6x² – 1 and ƒ(0) = 5

A:

Q: Find (f-¹)'(a). (f-¹)'(a) = f(x) = 4x³+4x² + 5x+7, a = 7

A: I have appended the formula used in the solution part of the question

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Find f'(x) and f'(c).

A:

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

A:

Q: If f(x) = 4x – 2e", find: f'(x) = f'(2) = f''(x) = f''(2) =

A: Explained below

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(5x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: Given fx=x5+2x5x5+5x-4c=0

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 6x +8x2 + 3x f'(x) = f'"(x) = f3)…

A:

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

A:

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: If f(x) = 7x° – 3e", find: f'(x) = %3D f'(5) = f''(x) = %3D f''(5) =

A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

Q: f f(x)=x3-x+2 find a formula for(without using d/dx) a. f'(x) b.f''(x) c.f'''(x)

A: Explanation: Given function: f(x)=x3-x+2 a) f'(x) f(x)=x3-x+2f'(x)=3x2-1+0f'(x)=3x2-1

Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: An angle's initial ray points in the 3-o'clock direction and the angle measures radians. Which of…

A: It is given that an angle's initial ray points is in the 3-o'clock direction.

Q: Let f(x) = ƒ' (5) = f" (5) = f"" (5) = 1-4x 1+4x Compute the following.

A:

Q: If f(x) = 7a – 8e", find: f'(x) = f'(5) =| f''(x) =| f'"(5) = |

A: in differentiation if  constant is multiplied with variable then constant remains simply multiplied…

Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

A:

Q: 4. ƒ(x) = (x − 3)(x² + 6x-²) -√2: f'(x) 5

A:

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…