find the first & second derivative of fox)=e 2. Cosx.

Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

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Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: What is the derivative of =pt? y=e eki?

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Q: Find the 90th derivative of y = cos 2x. %D

A: dy/dx of cos2x=-2sin2x.

Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

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Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

Q: Find the derivative of y with respect to s. y= sec 1(7s° + 4)

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Q: Find the derivative of y = 8x® + 5ª + 21. dy dx ||

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Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: 10. S(2x – 3) dx e 2x2 - ебх

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Q: • y= cos(a' + x')

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Q: d. y = ار نے

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Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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Q: Find the second derivative of F(t) = | sin(x) cos(2)d.r.

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Q: Find the indicated derivative. dp for p q² + 2 5q – 3 %3D dq dp dq II

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Q: Which of the following is the third derivative of y, if * y = (sinh 5)x2

A: we have to solve the problem

Q: Find the derivative of y with respect to the independent variable. y = 10cos T) -.... A. - 10coS TO…

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Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

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Q: (3) Compute the derivative of the function e2t cos tdt.

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Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: Derive the formula dy 1 dx 1 + x? for the derivative of y = tanx by differentiating both sides of…

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Q: Find dy/dx by implicit differentiation. x4y6 - 24xy4 = 22

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Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: Find the second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

Q: d rcos t sin(x²) dx dt

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Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: Can you help me step by step with this problem?

A: Differentiate both sides w.r.t. x.And for addition we can apply the derivative separately on both…

Q: What is the first derivative of s(r) = log, sin z 712+8z+2 Provide your answer below: s'(x) =]

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Q: Find the second derivative y “ of " of y = 5z +sin zcosz

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Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Find the derivative of y=cos^3w+cos(w^3) dy/dw=

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Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Sin (7€) + Cos (SE) 5지

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Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

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Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: Can you help me with this problem step by step?

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Q: Evaluate the second derivative at the given point. dy If dx = 3 ey + x2, find at (4,0) dx2

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Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: We know that x =r cos 0 and y =r sin 0, then find the derivative af /ər if 1 f = x2 + y2

A: Given f = 1x2+y2  and x = r cosθy = r sinθ Thus f = 1r cosθ2+r sinθ2= 1r2 cos2θ+r2 sin2θ=…

Q: Find the first derivative in the form of dy/dx  y= 2e^-2x + 2x^e^2

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Q: (3) Compute the derivative of the function Cos tdt.

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Q: b) y = cosh(2Vx+1)

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Q: The derivative of : y =0(sin (In (0))) + cos(Im (0)) is:

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Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.