/1 Points] DETAILS PR Find the derivative of the function. y = sin(tan 7x)

Q: Use Theorem 1 to derive the formula.

A: Given  ddxsinx=cosxddxcosx=-sinx The trigonometric identity used here is  cot x=cosxsinxcosecx=1sinx…

Q: Find the derivative of the function given below. k(a) = sin (a) cos"(a) k'(a) =

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Q: Find the derivative of the function. f(θ) = cos(θ2)

A: ven that , f(θ) = cos(θ2)Differentiate both side with respect to θf'(θ) = -Sin(θ2) .ddθ(θ2)⇒f'(θ)…

Q: Function Point f(x) = tan? x (a) Find an equation of the tangent line to the graph of the function…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given that a function.  And we have to find the slope at given point..  So for slope we have…

Q: 1- sin x Find the derivative of y = 1+ sin x

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Q: 5. y = xArcsinx + v1- x² a. Arcsin (x) b. Arctan (x) c. Arccsc (x) d. Arcsec (x)

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 76. Horizontal Tangents The graph of y = sin (x – sin x) appears to have horizontal tangents at the…

A: Given, y = sin ( x - sin x )   Slope of tangent to the curve is given by dydx   Horizontal tangent…

Q: prove: d dx cot'x prove: d -1 X1x-1 -l CSC X dx

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Q: Find an equation of the tangent line to the graph of f(x) = e*, where x= - 0.1. The equation of the…

A: The given function is fx=ex. At x=-0.1,   f-0.1=e-0.1. Its derivative is f'x=ex. At x=-0.1,…

Q: Composition of three functions Calculate the derivative of sin (cos x )2.

A: We have to find the derivative of function: sin cos x2 We know the formula of derivatives,…

Q: Find the derivative of f (») – 4 sin³ (y5). Enclose arguments of functions in parentheses. For…

A: Given: Function f(y) = 4 sin3 (y5) To find: Derivative of the  given function Concept Used: We…

Q: 5. * y ↑ Add File 6. * sin x 1 + cos x y = cos² sin x 1 Add File

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Q: Determine the derivative of the following: f(x) = (sin(x)) to the power of sin(x)

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Q: Illustrate the tangent line of the curve.

A: Given,

Q: Illustrate the tangent line of the curve.

A: The tangent line is a straight line which touches the curve at one point. The straight line at that…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given

Q: Find the derivative of the function given below. k(a) = sin°(a) cos°(@) COS

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Q: If possible please answer all questions. Find the derivative:  1) y=cos-1(1/x) 2)?=cot-1(√x-1) 3)…

A: Find the derivatives

Q: Use the quotient rule (you can use direct derivative)to drive the given equation: d cot(x) = – csc?…

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Q: -у %3 (8ӕ — 6) sin (8z — 6)

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: Findling the derivative of trigonometric fax)= In (l-xe -

A: Given,        f(x)=ln1-xe-x

Q: (a) Use implicit differentiation to find all points on the curve where the tangent line is…

A: a). Given,

Q: a) Please provide word explanation (description) of how to find derivatives using implicit…

A: Explicit Function:   An Explicit function is one which is given terms of the independent variable.…

Q: „sin(x) Find the derivative of : y =xm9

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Q: Function h(t) = sin t + et Point 1 Let (₁1¹) (ㅠ, 6 (a) Find an equation of the tangent line to the…

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Q: sin(x) Find the 3rd derivative of y =

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Q: Find the derivative of the function. F(t) = tan(sec(cos(t)))

A: Recall: The derivative of a composition is the product of the outer function ( with the inner…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to the graph of the…

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Q: (10 points) Find the derivative of the given function. Note: Your final answer should contain no…

A: Given   fx=tanarcsinx

Q: Find an equation of the tangent line to the curve y = 2x sin x at the point (pi/2,pi)

A: To solve the following

Q: Find an equation of the tangent line to the graph of f(x) = e, where x= 3.1. The equation of the…

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Q: -1 2. y = sec 6x2 – 3x + 2) |

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Q: Find the derivative of the function. y = cot2(sin(θ))

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Q: IV. Higher Derivatives sin(x) 1) Find the 3rd derivative of y

A: Given: y=sinxx For finding third derivative of given expression, we need to find first derivative…

Q: Find the 103rd derivative of cos(2x).   Hint: find the first few derivatives and observe a…

A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.

Q: equation of the tangent line to the curve at the given point. y =x² In(x), Find an (1,0)

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Q: sin Find the first derivative of 1-2 cos x

A: Given: sin(x)1-2cos(x)

Q: Finding Slope of the Tangent Line When Derivative Involves Trigonometric Functions Determine the…

A: Application of differentiation

Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

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Q: Find the derivative the trigonometric function. y = 6x sin(x) + x4 cos(x) y' =

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Q: 5. Use the definition of the derivative to find the derivative of

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Q: 2. Differentiate a sine and cosine function that involves product and chain rule. Find the equation…

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Q: a. Find the derivative. p Find the derivive b. Find equation of the tangent line at the point (2,…

A: Given:- y = (2x+1)/(x-1)  To find:- a. Find the derivative.   b. Find equation of the tangent line…

Q: f(x) = tan(x),   (-3π/4, 1) Find an equation of the tangent line to the graph of f at the given…

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Q: Find the equation of the tangent line to graph of function at the given point

A: The given curve is:y=5 +ln1-4xWe need to find the equation of the tangent at the point…