dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or dx cOS x.

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: Find the derivative of y = (tan x)cos: COs x .

A: Given : y=(tanx)cosx

Q: can i get step by step help please

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given poin IT x sin y = 3,…

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Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

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Q: Find the derivative dy/dx of f(x) using implicit differentiation. f(x) = sinx+cosy=sinxcosy

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Q: Find the derivative with respect to 0: y = In(sec 0 + tan 0)

A: Here we have to find the derivative of             y=ln(secθ+tanθ) To find the derivative here we…

Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (sec θ + tan θ)

A: Given function is Differentiating both sides with respect to , we get

Q: Y=2In(Sin x)

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Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: dy Use implicit differentiation to find if sin(x®y®) = x. dx

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Q: Find the derivative of the following function. sin x+ cosX y% = et dy dx %3D

A: *to find:- dy/dx.

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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Q: Find the derivative with respect to the independent variable. f(x) = 9 cos x - 2 sin x f'(x) = D %3D

A: We have to find derivatives of function: fx=9cosx-2sinx We know the derivatives of trigonometric…

Q: 2. Use implicit differentiation to find the derivative of y with respect to x for the following: xe…

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Q: calculate the derivative with respect to x. sin(x + y) = x + cos y

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Q: Find the derivative of the function. y = cos( V sin(tan(7x))) y' =

A: Topic :- Calculus

Q: Find the derivative of f(x) = cos x tanh-1 (sin x) and simplify. Then evaluate f'(0)

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Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

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Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

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Q: Find the derivative. ( cos ft dt x10 COS^/

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Q: find the derivative of sin (ax + b) cos (cx + d) CX

A: According to product rule of differentiation ,and according to chain rule of differentiation ,.

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

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Q: Find the derivative of y = 2x cos x − 2 sin x.

A: Given function y=2xcosx-2sinx dydx=ddx2xcosx-2sinx=ddx2xcosx-ddx2sinx Recall the formula…

Q: What is the derivative of: y = x ln cos x

A: The given function is   y = x ln cos x

Q: What is the second derivative of y + Incosx = 0 * O (cos x) ^2 O 1 O (sec x)^2 tan x

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Q: Calculate the derivative of y with respect to x when sin(x + y) = 5x + 3 cos(y).

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Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: y = cos /sin ( tan tx

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Q: Find the derivative with respect to 0: y = In(sece + tan 0)

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Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: f(x) = cos vx

A: The derivative is defined as f'(x)=limh→0f(x+h)-f(x)h.

Q: Find the derivative of the function. y = cos V sin(tan(7x)) y' =

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Q: Use Dnf (x) to approximate the derivative of f(x) = sin(x) at ;h = (0.01,0.2) 4

A: Given fx=sinx at π4, h=0.01,0.2

Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: /1 – ť dt dx cos X

A: This is a basic calculus question

Q: a) f sin(x) cos(x) dx,

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Q: Find the derivative of y with respect to x. y = 3 sin 1 (4x 4

A: The given function (y) is To find derivative of y with respect to x is

Q: y = cos /sin(tan Tx) %3D

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Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative

Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts:

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.