F(x) = L", costdt π/2

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: use the definition of a derivative and use it find and equation for the tangent line to y=2x2+2 when…

A: Equation of the tangent line: - We know that the equation of a line with slope 'm' that's passing…

Q: Q8.) By using the definition of the derivative, find the equation of the tangent line to the graph…

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Q: find the derivative of y with respect to the givenindependent variable.69. y = 5^sqrt(s) 70. y =…

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

Q: y = x²e²_2

A: applying chain rule as well where needed to apply

Q: Find the derivative of the function y = 8t- y (t) = eTextbook and Media Save for Later

A: Given problem:-

Q: Find the derivative. y = 7x² – sinhx %3D

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Q: State the derivative. Do not simplify. f(x) = log(x) + log₂ (x)

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Q: Find the derivative. y=xtanh¬12x

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Q: Find derivative of y=2e^.6t

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Q: Find the derivative. Simplify where possible. g(x) =  e cosh 3x

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: What is the Derivative of the function; y=tan\sqrt{x2-1}

A: Given function is y=tanx2-1. To find the derivative of the function. Solution: Chain rule of…

Q: kindly solve for uts derivative. ty and show complete solution. Pls answer asap

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Q: Find the derivative of the function  f(x)= arccot(square root)

A: The solution of above question is written below.

Q: Find the derivative: a. y = x arctan 4x

A: Solution:

Q: Find the derivative. y = arccoth x² + 8 y' =

A: We use the chain rule

Q: one leg of a right triangle decreases at 1 in./ min. and the other leg at 2 in./min. What is the…

A: One leg of a right triangle decreases at 1 in./ min. The other leg at 2 in./min. We have to find the…

Q: calculate the derivative. y = cosh2(9 − 3t)

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Q: if Y-t-Cost and s:t+Cost, find the derivative dr ds

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Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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Q: find the derivative of : y=cos(sqrt(6t+11))

A: The given function is y=cos(sqrt(6t+11)).

Q: sech e2x3

A:

Q: 5. Iny+ea²²x+y = 10 -

A: The given equation is lny+ex2y2-x+y=10. Find the derivative of the equation. Here we use the…

Q: sinh(3x) g(x) 3

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Q: What is the fourth derivative? x^12+1

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Q: h(x) = 4x/1-2x

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Q: y = csch /sec(x³ + 2)

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Q: Find the derivative. Simplify where possible. f(t )  = sech2(et)

A: ddxex=exddxxn=n xn-1ddxsech x= -sech (x) tanh (x)

Q: Acrsin a2_v2

A:

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

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula:…

Q: Find the derivative. Simplify where possible. y =e cosh 3x

A: Given: y=ecosh3x

Q: find the derivative of the function: sqrt(x/(x+1))

A: topic - derivative of a function

Q: 23: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3

A:

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Calculate the derivative indicated. lx=2, y = 8x-3 + 8x? dx2

A: We have to calculate d2ydx2 at x=2 for the given function: y=8x-3+8x2 We know the formula of…

Q: The derivative of y= elanx + tan(e*)+ (tanx)® equals

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Q: 5, Find derivative y = Cott-tanx

A: We will find the derivative as following.

Q: whot is the complele derivative of y: 2.

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Q: Find the derivative of the irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: 8. y = va? + x²

A:

Q: 33. Solve for the second-order derivative of the function below. Y = x 3x3 За

A: Differentiate two times wrt x

Q: Find the nth order derivative of the function y=32x+1.

A: We use the chain rule to find the first 4 derivatives.

Q: d derivative

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Q: .If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

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Q: End the derivative /- y=Sech" (sinX);n'

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Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: f (x) = sin(2ax + x)

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Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

A: