FIND THE DERIVATIVE OF THE GIVEN 4.) f(x) = sec x ニ 5.) y= In「3-2メ |- 3x 6.) y= Inle-*+ xe-*)

Q: fla)=-sinx (): In, Cosx

A:

Q: calculate the required derivative using the chain rule. -1 Z=tan tan () » yorsinə u =Y Cose %3D az.?…

A: We use chain rule and quotient rule

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A:

Q: Find the Equation of tangent line of the function f(x)=1+csc(x)-√cos(x) at the point…

A:

Q: 2. Find the third order derivative of y = In(secx + tan x). a. secx b. secx tan x c. - sec(x) + 2…

A: Explanation of the answer is as follows

Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

A:

Q: y3D(i+sinx)(I-sinl)!

A:

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec = sec-1 27) y = -sin-1 (5x2 + 2) 28)…

A:

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

A:

Q: Find the points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

A:

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 5s

A:

Q: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

A:

Q: Find the 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo…

A: Five point FD Approximation and CD Approximation:--- ..  I this Error is 0%

Q: In(5æ) Find the derivative with respect to x of y = %3D 5x y' = | %3D

A: Find the derivative

Q: 1. у %3D 4x? — Зх — 2.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the fourth derivative of f (z) = 2" + In (x) – 160z. %3D Enclose arguments of functions in…

A:

Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of…

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of…

Q: (1+x²-1) y = tan²¹ / √₁+x²

A:

Q: The derivative of the function y = etan(4x) is: a) y' = tan (4x)etan(4x) b) y' = 4 sec²(4x) etan(4x)…

A: Given data: The given function is y=etan(4x). Differentiate the given expression with respect to x.…

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

A:

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Consider f(x) = 3 − cosx on the interval [0, 7]. When will the first derivative equal zero?

A:

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

A:

Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

Q: The second derivative of y = ln(sec x) is а) у 1 - tan x b) y = tanx sec x c) y = secx · tan x d) y"…

A:

Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

A:

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

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: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: 16. r(0) = sec 0 tan 0 – 2eº -

A:

Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) 1 1 -In(бx? + бх — 4) + arctan x- -(12x + 6)…

A: Product rule (u v )' = u ' v + u v' Formula derivative of xn=n xn-1 Derivative of arctan…

Q: Show that the function has partial derivative at the point (0,0) but is discontinuous at this point.

A: solve the following

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Find the fourth derivative of f (z) = 3* + In (z) – 191z. Enclose arguments of functions in…

A: To find :  Fourth derivative of function ,  f(x)=3x+lnx-191x

Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: Given function is y=sinx. We have to evaluate the first derivative of y=sinx at x=π2 using a value…

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

A:

Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

A:

Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

A:

Q: 4 Find the derivative of f(x) using first principle %3D 3x2-3 of differentiation.

A: