Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec? (3x²-4) D None of the given choices E 2 tan?(3x?-4) csc²(3x²-4)

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: Find the derivatives of the functions y = 2 tan2 x - sec2 x

A: Given  The function  is y = 2 tan2 x - sec2 x Formula

Q: Find the first derivative of g(x) = 2 ln(x)tan(x*). 2 tan(4) g'(z) = | 82 sec²(4) In(z)+ X syntax…

A: We will solve the problem. The syntax error is ln(x4)  instead of 'CAPITAL i'. Refer to the final…

Q: 2 Find the derivative of: – 8 sin (3x°).

A: The chain rule of derivative states that ddx(f(g(x)))=f'(g(x))g'(x). The power rule of derivative…

Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

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Q: 3x-x Tan 1-3x? х-х

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Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: What is the first derivative of g(x) = In 4x²+4x+8 ? x 3 tan x

A: we use Logarithmic properties

Q: Find the derivative of y= sec(x) tan(x) Give clear steps and explanations.

A: The given function is y=secx tanx. The following product rule is used in evaluating the given…

Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: Find the derivative of the function. Simplify where possible: y=tan^-1(x-sqrt(1+x^2))

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Q: 1. If the first derivative is zero and the second derivative is positive, what can be concluded in…

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Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: What is the derivative of x 3 sin(x)? Select one: (sin(x) + 3x cos(x)) 2 Зх 3 + cos(x) 2 Зх 3 2 O…

A: Derivative of the function

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: Find the derivative of 5x^2sin(x)tan(x)

A: Given expression 5x2Sin(x)tan(x). We need to find the derivative of it with respect to x.We use the…

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: What is the derivative of tan-1(e2x-1), 2e 2r -1 2e 2x -1 2e 2r -1 (D) 1+ er-2

A: Solution : We have to find out the derivative of the give function tan-1e2x-1

Q: h(x) = V1+ sin(3x²) %3D

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Q: How do you find the derivative of (tan(x)-4)/sec(x)?

A: Use the quotient rule to find the derivative of (tan(x) – 4)/sec(x) as follows.

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: Find the 1st Derivative. r=( 2 tan3θ -1)1/3

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given, f'(x)= sec22x; π2, 0

Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

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Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: y = csch /sec(x³ + 2)

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Q: 2-x2 5. у3 sin x

A: Given that, y=2-x2sinx

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: The derivative is f'x=-sinx2   Integrate the function with respect to x.…

Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: What is f(2022) (cos x), the 2022nd derivative of f(x) = cos x? COS X sin a sina

A: To find 2022nd derivative of f(x) = cos(x).

Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

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Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Vx-3 6. f(x) = X-9

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Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

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Q: how to find the derivative of 1-sec x

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: 2) Find the derivative of f (x) = tan(1 + cos 3 x) 3) Find the derivative of f(x) = Vx3 – 4x2

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Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

Q: Find the derivative. y= + 10 sec x Py'-- 10 sec x tan x - 10 csc x '- - 10 tan²x 10 sec x tan x

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Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: The second derivative of the given function is - 5 sin (2 - 5x)

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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