6. Find the fized point of flx) [-,1] where', on fa = (동) x-(올)x3

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: 15 estimate, root of fa) =x²-7.

A:

Q: How do you fin nd the derivative

A: We have been given a function and we need to find its derivative.

Q: Simplify: 7/

A: Simplify.

Q: -5 F' A' Ε' LD C' B' --5- D' 5

A:

Q: Evaluate

A:

Q: (-2,1) 2x %3D 3. equation of the

A: The given equation of the line is 2x2-3y3=5 and the given point is (-2, 1). Evaluate the slope at…

Q: Jse differentials to approximate 47. (Express as a rational number.)

A:

Q: Which among the following functions has the derivative of de = (9z - 452 + 272) ( - 2) + (= - 2)*…

A:

Q: Find Ax) if A1)--, and the tangent line at x has slope (3x- 1)e-*.

A: Let equation of tangent line is  y=mx+c

Q: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

A:

Q: For the function f(x) = In (x + 3), find f"(x), f'"(0), f''(2), and f"(- 4). 1 f"(x) = (x + 3)2 (Use…

A: Given function     f(x) = ln(x+3)

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: neslope of the tangent line to the curve entline defined by x-2x4-443=-208 at the point (2,4)…

A:

Q: derivative af. inccosu) where n-782 Find

A: We have to find the derivative

Q: Show that the GHASH function calculates (X1 • H™) Ð (X, · H"-1) © O (Xm-1° H²) O (Xm· H) ...

A:

Q: What is fxe-* dx ?

A: Consider,

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Evaluate the derivative at the given value of x. 4) If y = 'y =- Vx, find dy dx 4

A:

Q: 18. Lfe ]- 19. 4(t+ + 2} - -3t3

A:

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: Determine all values of (in®)*. Indicate which is the principal value.

A: The solution is given below

Q: *) = (" ; ') - Show that :

A:

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule