Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5
A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)
Q: Find the critical points of the function f(x)=sin2x−cosx on the interval (0,2π).
A: For critical points, first find the derivative of the function and equate it to zero.
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Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x
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Q: 7. Find the derivatives of y = cos- (sin(2x)) (show work)
A: Using derivatives of composite function. Or Using trigonometric transformation.
Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).
A: To find the slope we need…
Q: |2tan x In (cos x) dx=
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Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D
A: As the function involved function in a function we can apply chain rule and find the derivative of…
Q: Find the hundredth derivative of the function f (x) = cos(2x). O f(100) (x) = -2!00 cos(2x) O f(100)…
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Q: The derivative of In (cos x) is
A:
Q: 2tan x In (cos x) dx=
A: here we have to integrate the given integral.
Q: 28. The derivative of In(x sin x) is 1. 1 + cotx а. b. C. d. tan x +x - +x sinx
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Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)
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Q: Find the critical points/number of the function h(x) = e^x sinx-sinx+cosx by applying derivatives.
A: First calculate its derivate then equate it equal to 0 to obtain the critical points. h(x)=exsin…
Q: If y = √√1-x² sin¹¹x, prove that (1-x²)+xy=1-x². dx
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Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)
A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…
Q: 7. The derivatives of the function f (x) = cos(3x²) that follow are incorrect. What misconception…
A: The differentiation of product two functions can be calculated by using the formula,…
Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D
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Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = π/4 , g'(2) = 5, and g"(2)…
A: singx
Q: Determine whether f(x) is differentiable at x = 0. Show your work. sin(x) cos(x)-1 3x + 1 f(x): = if…
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Q: Lim as x approaches 0 1-cos(5x)+sin(3x)/x
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Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…
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Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…
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Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…
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Q: Use a central difference method to approximate the first derivative of cos(x) at x = pi/3., assume…
A: To approximate the first derivative of fx=cosx at x=π3 by taking the value of h=0.01.
Q: Find all x values in interval [0,2 ·¤] on the graph of f(x) = -3·sin(x)·cos(x) where the tangent…
A: Given, f(x) = -3 sin(x) cos(x)
Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = 4, 8'(2) = 5, and g"(2) =…
A: Given: The function singx with g2=π4, g'2=5, and g''2=3, To find: The second derivative of given…
Q: Let f (x) = sin(4.x). Find the twenty-second derivative of f (x). D22 (f (x)) = O 42² cos(4æ) - 422…
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Q: find the derivative of sin (ax + b) cos (cx + d) CX
A: According to product rule of differentiation ,and according to chain rule of differentiation ,.
Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x
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Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…
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Q: Find the hundredth derivative of the function f (x) = cos(2x) . O f(100) (x) = -2100 cos(2x) O…
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Q: Differentiate the function. f(x) = sin(x) In(3x) sin (x) f '(x) + cos (x) In (3x)
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Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) (2n 4+v3 3' 2v3 At the…
A: Given: f(x) = 1 + csc(x) -cos(x) To determine: Equation of the tangent line at the point…
Q: 5) Use the Fundamental Theorem of Calculus to define of the function fol=sin (x?+!) ant-derivative…
A: According to the fundamental theorem of calculus, the following expression is to be true if F is the…
Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to
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Q: Find the first derivative of * In (sec y + tan y) - x - sinx = 2 O tany (cos.x + 1) O cos y (cos x +…
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Q: sinx f(x) = on [0, 2n] cos x-V2
A: Given : f(x) = sin xcos x - 2 on 0, 2π To determine the extrema of the above function…
Q: Find all points with x-values on (0, 2π), where tangent line to the graph of f(x) is horizontal.…
A: Find all points with x-values on (0, 2π), where tangent line to the graph of f(x) is horizontal.…
Q: How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because…
A: Given:
Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.
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Q: Prove cosh 2 x - sinh 2 x =1
A: To prove cosh2x-sinh2x=1
Q: 3. Find the derivative of (a) f(x) = (x + 2 sin x) (1 – 6 cos x), and (b) g(x) = sin x/ 7x
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Q: Find the derivative of f(x) = 3r sin(-)(x) – In(r² – 1) + 8² – 5 cosh(x)
A: Find the derivative of function
Q: In (sinh x ), + tanh x j + 1-x k )dx 1- sinx
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Q: Compute the derivative d tan x dx \cos x – 4)
A: To compute :
Q: x sin 2x sin cos x 2 X. Prove that 8 dx 2х - л
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Q: Compute the derivative d tan x dx \cos x – 4
A: Given: Formula Used:
Q: How are the derivatives of sin-1 x and cos-1 x related?
A: Given functions are sin-1x and cos-1x
Q: Compute f sin(cos(x²)) sin(x²)x dx
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