4 1日4)+e dy=

Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

A:

Q: Find the derivative of the function. 1 + sin(t) 1+ cos(t) s(t) =

A:

Q: Determine the equation of the tangent line to the graph of g(x) =| [1- sin(re')] dt at the In z…

A:

Q: Find the first derivative: y = In sin e Oy = 2e sece Oy = -2e cot e= Oy = 2e tane Oy = 2e cscez

A: Solve by derivation

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

A:

Q: Determine the derivative of p(z) = z* + 4° + 4 cos(z)-sin( )

A:

Q: Calculate the derivative of: '(14z) cos f(1) = sin (14x) r(e) =O

A: Given query is to find the the derivative of f(x).

Q: 17 Find derivative : f(t)= SVE et +t. f'(t) = ? %3D

A:

Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative

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Q: Find the first part ial derivatives of f (x, y) = 3y sin(x? +y?).

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Q: Find the derivative of y with respect to x. y = tan 9x-1- csc3x, x > %3D dy dx

A:

Q: Calculate the derivative of the following function. y= cos (sin (9x))- dy dx

A: We know d(xn)/dx = n.xn-1 d(cos x)/dx = -sin x d(sin x)/dx = cos x d(kx)/dx = k

Q: Calculate the derivative of the following function. y = cos *0 - sin °e dy de II

A:

Q: Find the derivative of the following function. sin x+ cosX y% = et dy dx %3D

A: *to find:- dy/dx.

Q: Find the derivative d cos t dt dz

A: Given : ddx∫0xcostdt

Q: Compute the derivative for r(t) = (cos(8t))i + (sin°(t))j + (tan(6t))k.

A: Derivative of r(t) = cos (8t) i + sin9(t) j + tan (6t) k

Q: Calculate the derivative. d cos t dt de

A: Explanation and solutions is given below....

Q: Y= lo5

A: FIrst convert base e then differentiate

Q: nd the points at which f(x) = cos² x has a horizontal tangent line. %3D

A:

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

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

Q: Calculate the derivative of the following function. y= cos (6 sin x) dy %3D dx

A: Given that        The function is y= cos(6 sin x) Here we have to find dy/dx .

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(z) = . (cos (t)…

A:

Q: 2. Find equation of the tangent line at the point P given by t = where x(t) = cos (t) %3D y(t) =…

A:

Q: Find the derivative of the 6. sin 80 (f) f(0) = %3D 1+ cos 80

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the derivative. F(t) = In(sinh(2t)) %3D F'(t) %3D

A: Find the derivative of the function

Q: Find the derivative of y with respect to x. y= sec -1(3x? + 1), x>0 dy dx

A: Given that: y=sec-1(3x2+1), x>0

Q: Consider the curve given by cos(x)+cos(y)+2x+y=2. Determine dy/dx for this curve using implicit…

A:

Q: Calculate the derivative of the following functions y = sin (4 cos z)

A: Consider the provided function, y=sin4cosz Find the derivative of the function.

Q: Can i get help step by step please

A: Consider the given function

Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

A:

Q: V 92) Inl Cosn

A: Derivative of hyperbolic function

Q: Find the derivative of y with respect to 0. y = In (4 cos20) dy de

A: Given, y = ln4cos2θ  We have to find dydθ

Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: find the derivative of y with respect to x, t, or u,as appropriate. y = ln (sec u + tan u)

A: Given:             y=lnsec u+tan u The derivative of y with respect to x,            ddxy=ddxlnsec…

Q: find the second derivative with respect of ds s+a

A: Please see the solution below.

Q: 9. What is the derivative of cos(at5 + b) with respect to t?

A:

Q: Determine the equation of the tangent line to the graph of g(x) = | [1- sin(re')] dt at the /In x…

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Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

A: The following formulas of differentiation can be used to solve the given derivative. i d dttan…

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Definition used -       Leibniz's rule for finding derivative -…

Q: Find the derivative of f(t)=sin(t+tan square root t)  +In (2t+1)

A: Given, ft = sint+tant + ln2t+1  We have to find the derivative of  ft = sint+tant + ln2t+1  .

Q: Calculate the derivative. 10 d cos* t dt dx

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos(u²) du. y =…

A: Giveny=∫cosx8xcosu2du

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

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of Cos t dt

A: Given :y = ∫-4xcostt8dt

Q: Ne Y=4

A:

Q: Find the derivative of t² sin t In Vt +1

A:

Q: d et? dt dx

A: Given: ddx∫xx2et2dt

Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts: