-y = sin-1 (x), y €|-5 (х), у € 2'2

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

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Q: Find the derivatives of the functions r = sec √θ tan (1/θ)

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given, x2/3 + y2/3 = 4 Using implicit differentiation for the above equation, (2/3)x(2/3)-1 +…

Q: Find the derivative of the trigonometric function.

A: we need to find the derivative of the trigonometric function.  h(x)=sec6x

Q: 28. f(x) = sin x² %3D

A:

Q: what is the derivative of sin(e^x)

A: To find what is the derivative of sin(ex)?

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x +…

A: The given equation is  sin(x+y)=x+cosy ...................................(1)  differntiate with…

Q: Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

Q: In y - Р(у) - %3D ey

A: We will use division rule and standard formulas to find required derivatives

Q: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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Q: Consider the function f(x) whose second derivative is ƒ''(x) = 9x + 6 sin(x). If ƒ(0) = 4 and f'(0)…

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Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: compute the derivative. f (θ) = eθ (5 sin θ − 4 tan θ)

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: Given: xey+yex=1, 0, 1

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Find the derivative of the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: Find the derivative of the trigonometric function. y = 6 sin(3πx)

A:

Q: If y=1/(x)^6 + cos(x), calculating the derivative.

A: Given thaty=1x6+cos(x)

Q: f(x) = cos'(5x)

A:

Q: Find the derivative of the trigonometric function. g(x) = 9 tan(2x)

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Q: Find the derivative of the trigonometric function. y = 6 sin(3nx)

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Q: (플아 What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0?

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Q: State the derivatives of sin-1 x, tan-1 x, and sec-1 x.

A: To Determine: State the derivatives of sin-1 x, tan-1 x, and sec-1 x. Given: we have sin-1 x, tan-1…

Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

A:

Q: Find the 39th derivative of the function f(x) = cos(x). The answer is function

A: Given f(x) = cos(x)

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: find the derivative of f(x) = cos(sin(4x+7)^4). simplify

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Find an equation of the tangent line to the curve at the given point. sin(sin(x)), (37, 0) y

A: The given expression is,

Q: Find the equation of the tangent line for f(x)=sin-1(1/4x) at the point (2,pi/6).

A:

Q: Find the derivative of the equation. = sin „sin ( x) y' :

A: Derivatives

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Find the derivative of the trigonometric function. . y = sin√(cot3x)

A: We have to find the derivative of the trigonometric function: y=sincot 3x We know the formula of…

Q: 5. y = [csc Jarcsin (cos.x)

A:

Q: Solve for the derivative of the Inverse Trigonometric Differentiation.  1.  g(x) = 3 tan -1 (3x)…

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Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

A: f(x)=2 sin x+sin2x

Q: Consider the equation 27 sin (y) =2 x y. Use implicit differentiation to find an expression for y'.…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. function y =…

A: First find the slope of the tangent line then write the equation of tangent line in slope intercept…

Q: Find the derivative. sint 1 du 16-u? 미행

A:

Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: Find all points on the graph of the function f(x) = 2sin(x) + sin²(x) at which the tangent line is…

A: To find the points at which tangent line is horizontal, we must find slope of horizontal line. The…

Q: Find the derivative of the trigonometric function. y = 8 sin(5πx)

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: What is the derivative sin?x+cos?x

A:

Q: Find the domain of the second derivative of the equation (image)

A: Given:

Q: Find the derivative of the trigonometric function. g(x) = 5 tan 3x

A: Given that : The function is g(x) = 5 tan 3x .