Find the first derivative of: sin(x+y)+cos(x-y)=3

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

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

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Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: y = cos*x – sin*x

A: y = cos 4 x -  sin 4 x

Q: i. y= ) In (x+3

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Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Find the derivative of the function.

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Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

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

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Q: Find the derivative of the function. y = sin-(6x + 1) y' =

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Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of the function

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Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the derivative of y with respect to x. y = 2x 4 sin -1 x

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative of the function. y = sin-(cos-(t))

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

Q: Find the derivative.

A: Given     y=sin-1xcos-1xdydx=cos-1x ddx sin-1x-sin-1x ddx cos-1x ( cos-1x  )2       =cos-1x 11-x2…

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

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

A: Topic :- Calculus

Q: Find the derivative of ,In sin-1) y = e %3D

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Q: Find the second order derivatives of the function f(x) ex sinx cos 2x

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Q: Ө+5 y = Өcos 0

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Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: Find the derivative of the function.

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Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Find derivative of y=cos(7x).

A: The given function is

Q: Find the derivative of y = x 1 cOS x 2

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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: Find the derivative of the function y= sin(x cosx)

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

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Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

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Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the derivative of the function. y = a 3 + cos 3 x)

A: Given: y=a3+cos3x

Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: Find the first derivative: y=sin( cos x)

A: The given equation is; y = sin( cos x )

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

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