16. Consider F(x) = dt. Find F"(x). 1 2 1 (A) I+8x (B) 1+2x (C) 1+ 8x (D) 1+8x

Q: x²+1 Find J+3x+1 11.

A:

Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

A:

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

A:

Q: r³ (x + 2) 6. Find f'(6) for f(x) = V (x + 3) Væ2 – 27 11 (a) 18 11 (b) 216 11

A: Some common derivative rules are, Also,

Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A:

Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A: