What is the first derivative of q(x)= ln((7x^2+3x+7)/((x^5/6)(tan(x)))

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: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: ) y = In³ )) (tanh²(scc '(x²)

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

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Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the derivatives of following fucntion (logx)tanx

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Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: Find the derivative ofƒ(x) = 1/x5in two different ways:using the Power Rule and using theQuotient…

A: given: f(x)=1x5 the differentiation of the function f(x)=1x5 by using the power rule is: the…

Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: Find the derivative of (sinx)2(sin-1x)2

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Q: derivative of f(x)= 3sin2x

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Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: y = In (csc 2)

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Q: Determine the derivative of 6x log3(x)

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Q: Compute Anti-Derivative (-1 --> 1)  (x^3 + x) / (cos(x) + pi) dx

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Q: Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please…

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Q: Brd Derivative OF y=-Jin3x

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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 derivative of fcx) = en (sinh Cx)) 5

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: what is the derivative of f(x)=ln(tanhx)

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Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x

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Q: he first derivative of f(x) = ln(5X4 - 6x) will be

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Q: What is the derivative of ln(sec(7x) + tan(7x))?

A: Let y = ln(sec(7x) + tan(7x)).Calculation:Obtain the derivatite of y as follows.

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: In(X+ bnx) %3D

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Q: Find the derivative of 5-4x+x²+ln(7)

A: By using differentiation formula, we find the derivative of given function.

Q: Shows the derivative function of: x³  + ln x(3x² + 5)

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Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: Find the  1st derivative of : y-=sec3β tan2β

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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: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x