find the root of equation by using fixed f(x) = x2 + 2x+ 5 x, 1.5 E= 0..009

Q: Find the derivative of the function  y = ln (8x3-x2)

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Find the second derivative of the function f(x) = 3*(square root of x+2 divided by 2x +1

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Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: Find the second derivative. y = 3x2 - V y" =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the second derivative. -5x f(x) = (5 + 4x)e" f"(x) =

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Q: solve the first and second derivative of Y=x2e-x

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Q: 3. sol Griven fun CHen. frxidz)= 9x2

A: To determine the first derivative ∇f of the given function.fx, y, z=2x3y2z2

Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: Find the derivative of the function. f(x) = square root of 7x+1

A: To find the derivative of function f(x)=√(7x+1)

Q: Find the fifth derivative of the function y=(x3+2x2+3x)ex.

A: We use the product rule to find the derivatives

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

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

A: Our Aim is to find the second derivative of…

Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: solve the derivative f(x) = e^3x / 1-x^3

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Q: Find the derivative 14x y = ln 3x2 + 1

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Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Use the definition of the derivative to solve.

A: Given,

Q: Jx + 2x f(x)=- 7х — 4х? 8.

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

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

Q: sech e2x3

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Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: 4х + 1 f(x) = 2 – 5x2

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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: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: ∫ 2x4x2-102dxTake the constant out:  ∫a·fxdx=a·∫fxdx=2·∫ x4x2-102dx=2·∫ 16x5-80x3+100xdxApply the…

Q: y = csch /sec(x³ + 2)

A:

Q: Compute the higher derivative.

A: Consider two differentiable functions fx & gx The product rule of differentiation is given by:…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Find the second derivative x4/7 -( solve using rationalising)

A: From the given problem:   fx=x47   As we know the second derivative is represented by:…

Q: Computate the derivative Y= 9X V1-9x

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

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

A: Given: y=2x-33x

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: Use the second derivative test to find the local extreme values of y= 2x7-x+12

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Q: Solve for x: tanax=-1 -atanx

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Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: The first derivative of f(x)=e5x^4-6x will be?

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Q: X = t-1 2-1

A: Given that x=tt-1,y=t2t2-1. Compute the first derivative.…

Q: Find the second derivative. f(x) = (5 + 4x)e−3x   f''(x) = ?

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Q: Find, the derivative of y= 5x e" + 6x3 y':

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: