5) Use the Fundamental Theorem of Calculus to define of the function fol=sin (x?+!) ant-derivative %3D

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: Calculate the derivative In (t)dt da using Part 2 of the Fundamental Theorem of Calculus. Enclose…

A:

Q: Find the second derivative of ƒ (z) = 6 sin (5z). Enclose arguments of functions in parentheses. For…

A:

Q: 1 Using implicit differentiation, prove cot"x -- Make sure to show all work. dx 2 x* +1

A: Let  y=cot-1x Therefore: cot y=x

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 4x F(x) = | cos (t) dt.…

A:

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) =…

A:

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: Find the second derivative of f (x) = 2 sin (3x). Enclose arguments of functions in parentheses. For…

A: Differentiate two times

Q: Determine the points in the interval (0, 2T) at which the graph of the function below has a…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y =…

A: By using the fundamental theorem of calculus we have to find the derivative of the given function.…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. cOS X y =…

A: To use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.y=∫sin…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. '2 G(x)…

A: We have to find the derivative from the given

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: The derivative of the function y = 9 sin + 22 is. 0 + (In 2") O - (In 2)2= O + (In 2)2" 0로+ (In 2)2"…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (x) h(2) = | . (cos…

A:

Q: Calculate the derivative e12x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.…

A:

Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

A:

Q: (ii) Hence, by using Leibniz Rule for Differentiation Under the Integral Sign, compute the value of…

A: Leibniz Rule for Differentiation under integral sign:- ∂∂t∫atbtfx, tdx=∫atbt∂f∂tdx   + fbt, t∂bt∂t-…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 1/x h(x) =…

A: Here I am attaching image so that you understand each and every step.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) =…

A:

Q: Calculate the derivative d In (t)dt dx Ja4 using Part 2 of the Fundamental Theorem of Calculus.…

A:

Q: 5. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. •cos…

A: part 1 states that

Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x). Simplify your answer. COs 1…

A:

Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

A:

Q: Use Part 1 of the fundamental Theorem of Calculus to find the derivative of the function. y=…

A:

Q: (A) Find the first derivative of the following function: 1+ cos2x f(x) = %3D 1- cos2x |

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: Find the second derivative of f (z) = 6 sin (4z). %3D Enclose arguments of functions in parentheses.…

A:

Q: 13) Use implicit differentiation to show that (tan x) = x+1 1 %3D dx

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative of h(x)= (from -4 to sin of…

A: This is a calculus problem

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of 16 F(x) = tan(t“)dt

A:

Q: 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculus to determine…

A:

Q: Calculate the derivative d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus. Enclose…

A: Given that ,ddx ∫x3e5x   ln (t) dtTo apply fundamental theosem,ddx∫a(x)b(x) f(t) dt = f(b(x)). b1(x)…

Q: the derivative of sin (x) h(x) = (cos (t) + t)dt COs - 4 h'(x) = ||

A: Using Fundamental Thereom of Calculus of part 1 and chain rule,

Q: Use the Derivative Rule in Section 3.8, Theorem 3, to derive d 1 sec dx x. 지 V - 1 1지 > 1.

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos(u²) du. y =…

A: Giveny=∫cosx8xcosu2du

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5x F(#) = | cos (t) dt.

A: Fundamental Theorem of Calculus Part I :If g(x) is continuous over an interval [c,d] and the G(x) is…

Q: 4. Compute the derivative of f(x) in each part. (a) f(x) = sin(ev) (b) f(x) = (tan r)", x € (0, 7/2)…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin ( æ ) = (cos(*") +…

A:

Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п

A:

Q: Find the derivative of f(x) = 3r sin(-)(x) – In(r² – 1) + 8² – 5 cosh(x)

A: Find the derivative of function

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. '6 G(x) :…

A:

Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

A:

Q: a is x3+y3=2xy and b is same equation at point (2,2) sorry if the picture is not clear

A:

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

A: