b. y = Vxe2x cos x хе2х сos

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

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A:

Q: Find the derivative of the function y = sinh−1(4x)

A: To find the derivative we use the chain rule

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A:

Q: Find the derivative of y = cos"+8 (x).

A:

Q: Find the derivative of the function y = 8 cos(2x)

A:

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Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

A:

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

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A:

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A: Given: calculate the derivative.  y = tanh(t2 + 1)

Q: 4 1日4)+e dy=

A:

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

A:

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

A:

Q: How did he get the derivative? Ux =d (uxN, 2)) dx then

A: I have stated the used formula in the solution

Q: • y= cos(a' + x')

A:

Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

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A: Given:

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A:

Q: Find the derivative of the following. sin y = cos (2x)

A:

Q: Find the derivative of the function. y = 5 cos(9x + 1)

A:

Q: Which is the derivative (dy/dx) of y=sin-1 tanx?

A: Formula used   (fog)'(x) = f'(g(x))*g'(x)

Q: Find the second derivative, for y = tan () dy2

A:

Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: what is the derivative of y= xcos(x)sin(x)?

A: Given,

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A:

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

A:

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

A:

Q: Find the derivative of the function r? In 4y y sin4

A:

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: 2. Find the derivative. a. y = sin x

A:

Q: Find the derivative. ( cos ft dt x10 COS^/

A:

Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

A:

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: y = x+1 y = sin v1+x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

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

A: Given function is

Q: Find the derivative. y(0) = sech-1(sin(@)), 0 < e < I 2

A: y(θ)=sech-1(sinθ)  ,  0&lt;θ&lt;π2

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

A:

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.

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A:

Q: FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x…

A: To find the derivative of the function7) fx=log10xx-18) y=arccosec-x9)y=9sin2x

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: Ne Y=4

A:

Q: In(x*y?) — х? +уз

A: Given equation is: lnx3y2=x2+y3 ......................... (1) We have to find d2ydx2 i.e. y".…