FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x 2

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

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…

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

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

A: We use chain rule to find the derivative.

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Find the derivative of y=cos-1(5/x) with respect to x.

A: The given inverse trigonometric function is,

Q: Find the derivative of y=(e^2x)sin5x   (Not sure what to do with the (e^2x))

A:

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

A:

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

A:

Q: Find the derivative of the function y = coth−1 (e2x)

A:

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

A: Differentiate wrt x

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

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

A: we have to solve the problem

Q: a) Find the derivative of the following function 3) y= 4sin 1+ vĩ,

A: Chain rule of differentiation: If F(x) is a composite function f(g(x)) and if F(x) is…

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

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

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

A:

Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

A:

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: B) Using the definition of derivative, find dy -if y = dx 1-x

A:

Q: When a question asks to compute dy/dx using the definition of the derivative, how do I approach it?

A:

Q: compute the derivative. y = z csc(9z + 1)

A: y=z csc9z+1

Q: What is the Derivative of the following function;  y = Arctan 2(x 3)

A: To find: The derivative of y=tan-1x32. Formula used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

A:

Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: Find the derivative of y with respect to z. y=5 (2)

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: 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: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

A:

Q: y = e* arctan x y = arccsc (e*) ICCSC

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: Y= In (In2 (1-x))re?

A:

Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A:

Q: Find the derivative of the function. Simplify wherepossible.

A:

Q: The first derivative of the given function is y = sec?. %3D 2х + 1

A:

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

A:

Q: Find the derivative of f (x) =arcoth (e³" ).

A:

Q: The derivative of y = cos²x is %3D

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

Q: c. Find the derivative of y =+- et x3 cOS X 2

A:

Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…