Use part I of the Fundamental Theorem of Calculus to find the derivative of 10 fle) = /" (금e-1) f(x) dt 5. f'(æ) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Evaluate the second derivative at this critical number.

A:

Q: What is the geometric interpretgtron of the derivative f'(a)?

A:

Q: (2х-6)° $(x) = (2x-6)* (x+3)'

A:

Q: Use Part one of the Fundamental Theorem of Calculus to find the derivative.

A:

Q: Find the second derivative of the funcion. y%3D

A:

Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(æ) : Vt3 + 2°dt f' (x)…

A:

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = | V+ 5°dt %3D -5…

A: Solution:

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: To calculate the integral

Q: Compute the Derivative sec(4x)

A:

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

A:

Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x

Q: In (In(ax))

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. [5 ,3

A:

Q: Use the graph of the function to sketch the graph of the derivative. (on the same grid is fine)

A:

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: Use the Fundamental theorem of Calculus to evaluate the derivative of -2x3 sin(+3) dt

A:

Q: Suppose that the function y in the Derivative Product Rule has a constant value c. What does the…

A: Derivative product rule:The derivative product rule for the functions x and y is given by,

Q: Which rule(s) are used to find the derivative?

A:

Q: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

A:

Q: Use the same-derivative argument to prove the identities sec-1 x + csc-1 x = π/2

A: sec-1x +csc-1x =π2  Let sec-1x =y   ----------(1) ⇒ x=secy⇒x=cscπ2-y  csc-1x =π2 -y    ----------(2)…

Q: What is sign analysis of first derivative?. When a function is said to be increasing, decreasing…

A: As per our guidelines, I have solved the fourth problem. If you want the answer of the fifth…

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: n of Calculus to find the derivative of the

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 dt f'(x) = [NOTE:…

A: From the fundamental theorem of calculus,…

Q: Calculate the following (using derivative rules).

A: According to guidelines we have solve only firat three subparts kindly repost other subparts as the…

Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: Derive a formula that approximates the second derivative of the function sampled at x = 0, 0.01,…

A: Let us assume that second derivative function  f"x0=Afx0+Bfx0-h+Cfx0+2h can be rewritten as…

Q: (*) 5

A: We know that derivative of xn is nxn-1. Here We use fundamental theorem of calculus then find g'(x).…

Q: I need to find the derivative of some calculus equations

A:

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

A:

Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: determine maximums and minimums by the Second Derivative Test, we differentiate y"=72 / (2-8)3…

A: topic  - local maxima and minima

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 f(x): dt f'(x) -…

A:

Q: List an efficient formula to calculate the directional derivative for a differentiable function?

A:

Q: Compute derivative for the of the

A: Given: hx=log2x232x3

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

A:

Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: 5-cos x 3) f(x) = 5+sinx foo

A:

Q: Find the derivative of number 4 in attached image using Four-Step Rule

A: Solution: The objective is to find the derivative of the given function