3x' +2Vx For the function F(x)= find the first derivative and simplify.

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: Find the derivative.

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Q: Find the derivative of x/ex^2.

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Q: Find the 3rd derivative of the function y=xsinx

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Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

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Q: sin

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: What is the derivative of 2(x)ln(x)+x

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Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: Find the derivative of the function. y = 9 arcsin) – x/9 – x² Step 1 Rewrite the given function y =…

A: Given: --------------------------------------------------------------------------------------------…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

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

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Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: Find the derivative of the function. y = ln∣csc x∣

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

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: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: Find the derivative. y =(ln(ln x))3

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Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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Q: Find the derivative of the function g(x) = ln ex/(1 + ex)

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Q: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

Q: f(x)=2x^{2x}  f'(x): ? Please find first derivative

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

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Q: Find the first derivative of y = cos*x- sin*x.

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Q: 4. y=ln(4x' +5)

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Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

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Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the derivative of (ex + e-x )/(ex - e-x )

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Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: If y=Inx-x, then second derivative (y ) is-

A: The given function is y=lnx-x4. Evaluate the derivative of the function as follows.…

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

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: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2