Find the derivative of the function f(x) = cosh(8x + 1)

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the derivative of the function.

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Q: Find the derivative of f(x)=ln(x^3-x+2)

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Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: sin

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Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the derivative of f(x) = (Cosx)*

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Q: ind the derivative of f(x) = 2x/√x+1

A: Explanation:Given that  f(x)=2xx+1     Formula Used:fg'=f'g-fg'g2

Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

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Q: Find the derivative of f(x) = 1 at x = 3

A: The given function is: fx=1x Using the formula of derivative i.e., ddxxn=nxn-1

Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: Find the derivative of the function using 3-step rule: v (t) = -.

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Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Find the derivative of the function. rlx) = [in[x*}}°

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Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: sinx 3. f(x)=(x)*

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Q: Find the derivative of the function y= arctan x +x/1+x2

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

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Q: Find the 4th derivative of the function y=exsinx.

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Q: Find the derivative of the function. y = In(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 the function.

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Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Find the derivative of the function y = cosh−1(3x)

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Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: (a) h(x) = tan(r'sinx

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Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Find the derivative of the function.   y = In(x)/x9

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Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivative of the function.

A: Given

Q: f(x) = 3 sin 1 (x²)

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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: Find the second derivative of g(x) = secx.

A: Given : gx = sec2x

Q: Find the derivative of y = arccos x + x 1-x²

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Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu