Determine the value at x =

Q: State the derivative. Do not simplify. f(x) = = x² +3 R

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Q: () Y = sec

A: Given the function

Q: Find the first and second derivatives :- y  = 100

A: we have to find the first and second derivatives :- y  = 100

Q: y = x²e²_2

A: applying chain rule as well where needed to apply

Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: Find the derivative of the function. 7x y = Va2 + 5 y'(x) =

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Q: calculate the derivative h(x) = π2(x − 1)

A: To calculate the derivative: h(x)=π2(x-1). Solution: h(x)=π2(x-1) On differentiating both sides with…

Q: f(x) =

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Q: 1 , (x >0) 1+x

A: We need to evaluate the derivative of the following function f(x) = 1-xx1+xx

Q: find the derivative f(x) = xππx

A: The given function is

Q: Find the second derivative of the function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: I It ex 1-ex dx

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Q: Find the derivative. y=(5√x)/(8)

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Q: Find the first and second derivatives

A: Given,y=x+6y'=?y"=?

Q: Find the first and second derivatives of the function  y = 4x / sqrt ( x+1)

A: Given that y=4xx+1=4x(1+x)-12

Q: Find the derivative y', where (3 – x) (3+x)2 3 %3D 1 - x

A: Given function is y=x21-x 3-x3+x23

Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: compute the derivative f (x) = 7−2x

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Q: FInd the derivative.

A: Find derivative of

Q: compute the derivative. y = (x + 1)3(x + 4)4

A: To find the derivative of y=x+13x+44. Solution: Product rule of differentiation states that:…

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: Find the derivative. y = x + 8x + 5 y = %3D

A: Given that,       y = x2+8x+5 Differentiating with respect to x, we get           y' = ddx(x2+8x+5)…

Q: take the derivative. бх —5 y = - x² +1

A: Consider the given function as y=6x-5x2+1

Q: Evaluate : sec; 43 x cosec x dx

A: To evaluate the given integral

Q: Integrate the function. 88 dx

A: Solution: The objective is to find the value of the given integral

Q: Find the derivative (3t - 4) ^8 divided by t + 9

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Q: Find the derivative. y +9 sec x 918 %3D

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Q: Find second derivative  x⅓+y⅓=a⅓

A: Given,    x13 +y13 =a13

Q: Find the derivative. y=(x+1)^2(x^2+1)^-3

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Q: Identify the x-values where ƒ is discontinuous.

A: From the given figure, it is observed that the above graph is not continuous at x2  and  x4.

Q: Differentiate the following with respect to the variable: y

A: Given; y = 5 ln 3x To differentiate: The given equation with respect to y.

Q: Find the implicit derivatives where A=4 and B=8

A: dw/dz = 1/dz/dw , when both are defined

Q: e2x F(x)

A: We will solve by this formula

Q: Differentiate f (x)  = eex

A: f(x)=eex

Q: Use logarithmic differentiation to find the derivative. x2+6 y = x2+7

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Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: Find the derivative. 8

A: The given equation is

Q: Find the derivative. 3/2 y%=

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Q: Find the second derivative of √x + √y = 25

A: To find the second derivative... √x + √y = 25.

Q: Find the derivative 3 y = 2 + Væ4

A: To find the derivative of the given function y=3x+x43 we use power rule of derivative. Power rule of…

Q: Find the derivative. 9. y =

A: The function is given by y = 94x34 Formula Used: ddxaxn = anxn-1 where, a is constant To evaluate:…

Q: y=4²x

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Q: V27x° dx

A: Using power function formula of integration.

Q: Find the first and second derivative: y=x1/2+(4/x1/2)

A: First derivative:

Q: Calculate the derivative of the following functions

A: Given, y=e2x2x-75 Now by using the product rule, fg'=f'g+g'f Here, f=e2x &…

Q: x² – 4y² = 5; y"

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Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: 5x* f(x)=. x+1

A: Given,            f(x) = 5x4x + 1 + 2

Q: find the derivative h(x) = 2 x2 − 8 x8 + 6 x

A:

Q: Calculate, correct to two decimal places, the value of y when x = 1.

A: