sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.) Backward difference c.) Central difference

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: Find the derivative of the trigonometric function. y =  3(1 − sin(x))/2cos(x)   y' =

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Q: Use Theorem 1 to derive the formula.

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

Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y…

A: Follow the procedure given below.

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

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Q: The equation of the tangent line to the curve at the point (0,4)                 4+6x=sin(xy2)+y

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Q: tinel the first, se cond-order derivative lf'cx) and find the slope at the given point xi: %3D

A: fx=1-1+x

Q: Find equations for the tangent and normal lines to the curve y = 1 + cos x at the point (π/2, 1).…

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: B. Derivatives of Trigonometric Function Using the formula find- dx 5. y=cos (2x-1)

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Q: 1-x sinh Find the derivatives . 1+x

A: To find the derivative of:sinh-11-x1+x

Q: 5. Use implicit differentiation of sec(y) = e* to find the derivative of y = sec-(e"). You may use…

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Q: 6. What does the following identity tell us about the derivatives of sinx and cos-x? sinx+ cosx =5

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Q: Implicit differentiation Use implicit differentiation to finddy/dx.

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Q: QI- 1) Show that cosh²x – sinh?x = 1 ii) Find the equation for the tangent line to the curve y = V+1…

A: By using the definition of hyperbolic functions in terms of exponents we solve (i) .  And by using…

Q: a) Find the points at which the tangent line to the graph of function f(x) =x³ – 36x+60 has slope…

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Q: equation of the tangent line to the curve y = x + cos x at the poir

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Q: B. Derivatives of Trigonometric Functions Using the formula find- dy dx 7. y= sin In(4x + 3)

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Q: (a) Use implicit differentiation to find an expression for (OR y') in terms of z and y. (b) Find the…

A: Differentiate y w.r.t. to x .

Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the…

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Q: y=sin-1(x/x^2-1)x=3^1/2 find the equation of the tangent line

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Q: equation of fhe tangent line to the curve + tan?x at Find an fixl=sec?x

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Q: 1 Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The…

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Q: Consider the function f(x)=sin⁡xcos⁡x on the interval 0≤x≤π. (a) Calculate the derivative of f. (b)…

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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: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: Find an equation of the tangent line to the graph of the equation  ln(x) + xey = 1 at the point (1,…

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Q: B. Derivatives of Trigonometric Functions Using the formula find 6. y=tan Vx2 – 1

A: Let's find.

Q: a.) Find an equation of the tangent line to the curve at the given point. y = (4)/(sinx + cosx),…

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Q: lim tan?(3 + Ar) – tan²3 Ax-0 Ar ib. Compute by interpreting it as a derivative.

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Q: 2. Use calculus techniques to sketch the curve y = Use wolfram alpha to calculate the first and…

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Q: 9. Solve 4(sec² x)(3 – tan x)/2 dx by substitution. Remember that the first derivative of tan x is…

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

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Q: QI- i) Show that cosh²x- sinh?x = 1 ii) Find the equation for the tangent line to the curve y = Vx…

A: We have to find equation of tangent

Q: 1. DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x + 3x +…

A: d/dx(sinx)=cosx d/dx(xn)=nxn-1 d/dx(cosx)=-sinx

Q: ind the second derivative(y”) of the following functions and simplify the final results.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: y = cot2 sin ( Tan-1

A: follow next step

Q: Implicit differentiation Use implicit differentiation to finddy/dx.

A: Given: cosy2+x=ey for finding dydx, we differentiate given expression with respect to x

Q: State De-Moivre's theorem. Compute n" derivative of the function y th x² +a?

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: The derivative du forthe funchion 4=cot vi4-x

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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: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

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Q: 1 f(x) = sin(x) – sin(3x) + sin(5x), [0, x] (a) Find the first and second derivatives of the…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: II sinx Find the slope of the tangent line to the graph of f(x)=: at x=- %3D cos x

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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: (5,2). Find the equation of the tangent line to the curve y = 2 sec x 4 cos x at the point The…

A: Given:     y = 2 sec x  - 4 cosx      Point : ( π/3 , 2)