Compute the derivative d tan x dx \cos x – 4

Q: y = (cos x)*

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Q: compute the derivative. g(x) = tanh−1(ex )

A: We have to compute the derivative of the function: gx=tanh-1 ex We know the formula of derivatives,…

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A: Simple use the identity of derivative of constant is zero and derivative of sinx is cosx and…

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A: Given : y=(tanx)cosx

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A: The power rule of integration is given by , where C is an integration constant. The chain rule of…

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d tan (8t) dt = dx

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Q: Find the derivatives of the functions in Exercis

A: the given function is: q=cotsintt we have to find the derivative of the given function.

Q: Find the derivative of f(x) = tan(sin(2x))

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Q: f(x) = cos (x – a -2).

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Q: Find the derivative and simply. 1+cosx (a) f(x) = 1-cosx (b) f(x) = 3x5 cot-1 x

A: Part aGiven,          fx=1+cosx1-cosx

Q: Find the derivative of f(x) with respect to x ( f(x) = cos(x), find the f(x) by using the…

A: Given;  f(x)=cosx.

Q: compute the derivative. f (θ) = eθ (5 sin θ − 4 tan θ)

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Q: compute the derivative. y = tan(cos x)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: compute the derivative.  f (x) = (cos2 x)cos x

A: To compute the derivative.  f (x) = (cos2 x)cos x

Q: Calculate the derivative.

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Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or…

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Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: Find the derivative of  arc csch tan(z)

A: Use the chain rule of derivative and simplify.

Q: Find the derivative and simply. (a) f(x) = 1+cosx 1-cosx

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

Q: Compute the derivative.   f(x) = sinx cosx

A: f(x)= sinx cos xf'(x)= ddx(sinx cosx)        =sinx ddxcosx + cosx ddxsinx        =sinx (-sinx) +…

Q: f(x) = tan (5æ).

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Q: Find the derivative of f(x) = cos x tanh-1 (sin x) and simplify. Then evaluate f'(0)

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Q: compute the derivative g(x) = tan−1(ln x)

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Q: Compute the derivative. f (x) = sin x cos x

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Q: 17. Find the first derivative for J(x)=tan0x sec0

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Q: Compute the derivative with respect to x using differentiation rules.  f(x) = eax cos(bx) for…

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Q: compute the derivative : y = cos(cos(cos(θ)))

A: the given function is: y=coscoscosθ we have to find the derivative of the given function.

Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: compute the derivative g(x) = tanh−1(ex )

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Q: Determine the derivative of y with respect to x: In x+ In y = x cos y

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of r = In (cos" x).

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Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the derivative of g(t) = tan(5 - sin 2t).

A: Given function is gt=tan5-sin2t. To find the derivative of the function. Solution: Chain rule of…

Q: compute the derivative. f (z) = z tan z

A: The given function is f (z) = z tan z To compute: Derivative of  f (z) = z tan z

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

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Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

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Q: Find the derivative of f tan-1t dt

A: Given: Let y=∫21xtan-1 t dt To Find: The derivative of the given function

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Use the limit definition of the derivative to [cos a] = - sin . %3D da

A: Given function, f(x)=cos x

Q: Calculate the derivative: d/dt ∫ from 1 to tan(t) of sin(x^2)dx=

A: Here the function is of the form:

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d tan (7t) dt = dx

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x