By using caushy Rieman find the derivative of f(z) =lz| if it exit O fiz) = 2 +121 (3)

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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Q: verify the statement by showing that the derivative of the rightside equals the integrand on the…

A: Given statement :

Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

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Q: Prove, using the definition of derivative, that if f(x)  = Cps x,then f'(x) =- Sin x

A: Given fx=cos xBy definition of derivativef'x=limh→0 fx+h-fxhfx=cos xThereforef'x=limh→0 cosx+h-cos…

Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N

A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…

Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

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Q: By using caushy Rieman find the derivative of f(z) =|z| if it exit

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Q: 3. The derivative of /(x) = In x at x = 3 when hourrent = 0.001 and hprevious = 0.002

A: Given problem:- 3. The derivative of f(x) = In x at x = 3 when hcureent= 0.001 and hprevious = 0.002…

Q: Compute the derivative of the function f(r) = cos(x) by the difference quotient definition.

A: The given function is fx=cosx.

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

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Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x a I. tan x 2.…

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: n(x)=3x?4k+1 %3D

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Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: Is the function f(x) = |x| cos x differentiable at the point x = 0 ? (Use definition of the…

A: if lim∆x→0f(∆x+x)-f(x)∆x doesn't exist then not differential

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

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Is the functionf(x) = |x| cosx differentiable at the point x =0 ? (Use definition of the derivative)…

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Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

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Q: show that the function is derivable and that the derivative is continuous.

A: The objective is to show that the given function is derivable and the derivative is continuous.…

Q: By using caushy Rieman find the derivative of f(z) =|z| if it exit O fiz) = 2 +I21

A: As per bartleby guidelines only 1 question can be answered please upload the questions separately.…

Q: Shows that if a function f(x) is continuous in interval [a,b] then most likely the derivative of…

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: what the derivative fxy er hin ction Sas)=x'tan)

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Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: HW prove That The derivative of Flx)=x-x is if (x) = 3x?1 use definition of devivativeto finid The…

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Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: 16. r(0) = sec 0 tan 0 – 2eº -

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Q: On which open interval is the derivative positive/ negative .

A: Given:

Q: By using caushy Rieman find the derivative of f(z) =Iz| if it exit ® fLz) = 2 +Z1

A: It is given that the function fz=z. The function fz=x2+y2. Note that, If the function is…

Q: f(x) = x*Inx

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

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Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

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Q: tanh'stanx) that derivative af this 1-

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Q: If function f(x) is not continuous at the value x = a then the derivative of f does not exist at x =…

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Q: Find the derivative of the transcendental function. y = ex - cot x y' =

A: derivative of ex = ex dderivative of cot(x) = - cosec2(x)