For the function f (x) = -2 sin (x (=-). determine its amplitude and period, and then graph it for %3D two periods.

Q: Find  the slope of the curve y=cos((pi tanx)/6) at the point where x=pi/2.

A: given,  y=cos(pi tanx)6  at x=π2

Q: Find the derivatives of the functions

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Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: For the given function, find the first derivative f' f(x) = e* · (3 sin x + cos x) + 4x3

A: Differentiate both sides of the equation, with respect to x using the product rule of derivative to…

Q: Find the derivative of the trigonometric function.

A: To find the derivative of the trigonometric function.  y=csc1-2x2

Q: Find the derivative of the trigonometric function.

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Q: Assume that y = sin'x is a differentiable function of x. By differentiating the equation x= sin y…

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Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: for f(x) = tan-1G) ду? Solve the second derivative

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Q: Find the amplitude and period of the function. y = -sin(3x) amplitude period

A: Given f(x) = -sin(3x) Since for f(x) = asin(bx) , the amplitude is  |a| and the period is 2π/b

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: 7. y = tan ex + etanāx

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Q: For the equation, use implicit differentiation to find dy dx xy - 3x = 9 dy dx ||

A: Given equation is xy-3x=9. We have to find dydx from the equation using implicit differentiation.

Q: 2+x 9 y = Arctan(- 1-2x

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Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: sin 3x y = e*

A: Given equation: y = e4x2 sin 3x

Q: tan(xy) + xy = 0

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Q: sinr f(x)=(x)'

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Q: :) x+1 14. y= cos

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Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: sinh(3x) g(x) 3

A:

Q: Find the derivative of the trigonometric function.

A: Given:hx=1x-12 secxIntegrating formula:∫dxx=logx∫secx=lnsecx+tanx

Q: y= cos (4x+9

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Q: If y = -cos x, what x-value corresponds to a y-value of 1 between 0 and 27?

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Q: у 3 3x? sin "(2x)+ 2х

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Q: Find the derivative and don't simplify the answer. y=tan-1(5x4)+(cos-1(x))6

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Q: Find the derivative of the trigonometric function.   y = csc(1 − 2x)2

A: the given function is: y=csc1-2x2 we have to find the derivative of the given function.

Q: find all possible functions with the givenderivative. y' = sin 2t

A: Given: dydt=sin2t for finding solution of given equation, we use variable separable method so,…

Q: g(x)%3Dx sin(2*)

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Q: What is the relationship between the domain of a the function y = sin x and the range of the…

A: Topic:- range and domain of trigonometry function

Q: For the function: sin y = 4x + 9, find (using implicit differentiation) O 4 csc y O -4csc y o -4 sec…

A: We have to choose the correct answer

Q: Find the derivative y=x^6 cos(x)

A: Given: y=x6cos(x)

Q: Find the derivative of the trigonometric function. y = sin( x)2

A: y=sinx2

Q: A water ride with heights above and below the starting point can be modeled by the function y = 3…

A: Given that the height of the Water ride above the function is modelled byy=3sin(π2(x+3)-2).WE neeed…

Q: For y = – 5 sin ( 4x - its amplitude is its period is its horizontal shift is Enter exact values.

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: Find y' and y" by implicit differentiation. cos(y) + sin(x) = 1

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Q: y = In[cos? (3x)]

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Q: cos(xy) + secy = 5

A: Given: cosxy+secy=5 We know that  ddxcosx=-sinx…

Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…

Q: How is the graph of y = Sin(x - 30) different from that of the function y = sin x?

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Q: Find the derivative of the trigonometric function. h(x) = sec 6x

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Q: Find the first and the second derivatives of the following function sin x y sin( xy) cosx

A: Chain Rule:- It is called the chain rule because the derivative of composites of function is used by…

Q: Find the derivative of the trigonometric function. y = sec x/x

A: To find  Derivative of sec xx

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: Find the derivative or the function. y = 7 tan- (x + V1+x) 1 +

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Q: please differentiate the function provided in the images

A: Given that

Q: Find the second derivative y = x2 + cot'x

A: