Find r"* r = sin (0)cos (20)

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

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Q: y =V V secxtanx; y 2

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Q: se the second-derivative test to determine the local extrema cof the function f. If the…

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Q: sin² sin'x =-COSr 2. 0, 2.

A: To solve for x , where x should lie in the interval  [0,π/2]

Q: y = arctan 1+sinx. y 1-sinx

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Q: y = sec*0 – tan*0

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Q: Find the second derivative (i.e., general solution) of each equation then solve for the particular…

A: The function given is as follows: fx=tanxsinx We are asked to evaluate the second derivative of the…

Q: Derivatives of functions with rational exponents Find dy/dx

A: Given, y=xx5+x To find dydx: Find ddxxx5+x: By Quotient Rule, dfxgx=g(x)·dfx-fx·dgxgx2…

Q: Show complete solution for this. Determine the slope of the tangent line to the graph of the…

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Q: 1. y= sin (x² + 3x + 1)

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Q: Combining Derivative Rules (Select all that apply.) Working with the function f(x) = --²+7. sin x…

A: Here we use constant rule, power rule, trig function rule, quotient rule and sum/difference of a…

Q: 5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

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Q: Find: VE +4 dx

A: Let  I=∫x+4  dx

Q: (0, f(x) = 7 sin2(x) + 7 sin(x) (a) Find the open interval(s) on which the function is increasing or…

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Q: The curve y = tan x crosses the line y = 11x at a non-zero x-value between x = 0 and x = 2 Use…

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Q: y = /1-2 cos(x)

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Q: 4. y = sec*e - tan*e

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Oscillation Show that if h > 0, applying Newton's method to S Vã, x < 0 h and to x = h if xo = -h.…

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Q: (り 12 sin n

A: We need to find first derivative.

Q: Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

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Q: cos 0+sin 20d0 16-49 sin20

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Q: Derivatives of Trigonometric Functions dy Using the formula find dx 4. y-sin (x + 3x + 1)

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Q: Derivative formulas Derive the following derivative formulas given that (cosh x) = sinh x and - dx…

A: The derivative of sechx have to be found. ddxsechx since sechx is the reciprocal of coshx, This can…

Q: 64. Oscillation Show that if h>0, applying Newton's method to (Vĩ, f(x) = (V-x, x<0 leads to x, = -h…

A: Newton's method xn+1=xn-fxnf'xn  Here, fx=12x   ; x≥0  12-x ;   x&lt;0           start with…

Q: Sin² x-sin x-2=0

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, '2x-1 1. y = Arccos…

A: To find: The derivative of y=cos-12x-13x+1. Formula used: Chain rule of derivative: fgx'=f'gx·g'x…

Q: Derivative of f(x) = sin(x) 2 For each x-value indicated, drag the purple dots up or down to…

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Q: Absolute maximum and minimum values of f(x)= 2cos(x)+ sin(2x) on the interval [0, pi/2]

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Q: U-Substitution Integration Problem. Please check my answer if it's right or wrong and can you give…

A: Hey! Hope you are doing good. Kudos! Your answer is checked and you have done the substitution…

Q: (x2+/x)cos(x) find the value of the first derivative at x= 2. sin(x) 12. Given the function f(x)=…

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Q: The curve y = tan x crosses the line y= 5x at a non-zero x-value between x= 0 and x = Use Newton's…

A: Given: The curve y=tan x crosses the line y=5x at a non zero x-value between x=0 and x=π2. To Find:…

Q: oints does f(x) = 2 sin x - cos 2x have an absolute maximum value and wil value over the interval…

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Q: z +1 Q (2) = tan- (z)

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 3. y = tan vx2 – 1

A: Given: y=tanx2-1 To find: The derivative and  inverse of trigonometry function.

Q: ANTI-DERIVATIVES OF TRIG FUNCTIONS Please find f(x) and f'(x) of f''(x)=-4sin(2x). Please show…

A: f"x=-4sin2x ⇒ ddxf'(x)=-4sin2x . Therefore,…

Q: sin2(x) + sin(x) cos2(x) To evaluate the -dx using basic formula of integration (without using…

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Q: Find all x-values on the graph of f(x) = −3sin(x)cos(x) where the tangent line is horizontal. Be…

A: Please rate

Q: 2. у%3D cos ? (2х — 1)

A: dy/dx = -2sin(4x-2)

Q: 5. y = Arctan²(x³) 2х-1 6. y = Arccos 3x+1/

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Q: 3. y = cot(x + 2) cosh(x + 2)

A: Given: y=cot(x+2) cosh(x+2)                                  Here, cosh(x+2) is hyperbolic function…

Q: FIRST DERIVATIVE: Four-point central y = sin(0.5 Vx)/x at x = 1, h = 0.2 Your answer

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Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2xsin(x2)…

A: 1. The product rule for differentiation states that ddx[f(x)·g(x)]=g(x)f'(x)+f(x)g'(x), where f(x)…

Q: 1 2. Find the derivative of y =V1 - x2 +arcsin x 2°

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Q: coS x cotx cos x-sin x cotx -1 II

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Q: The curve y = tan x crosses the line y = 11x at a non-zero x-value between x= 0 and x = 2 Use…

A: Newtons method of approximation is  xn+1=xn-f(xn)f'(xn) y=tanxy=11x we need to find the x value…

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

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

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: The Reciprocal Rule a. The Reciprocal Rule says that at any point where the function v(x) is…

A: Given: (a) The quotient rule is given as,

Q: Average velocity Find the average velocity of a projectile whose velocity over the interval 0 ≤ t ≤…

A: Given, Velocity function, v(t)=10sin(3t), 0≤t≤π

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: