Determine f '(x) from the first principles if f (x) = -2 -3x

Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: Find derivative of 2x^4y^3-xy^2 using chain rule.

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Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: Find the derivative of the function. 5 F(x) 1 + 4x + x3 F'(x) :

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Q: f(x) = (6x² - 2x+1)^

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Q: Find anti derivative of    f(x)= (2x2+1)(3x-2)

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Q: Find the third derivative of the function f(x) = (x3 - 8)4 please provide detailed steps and the…

A: Given that: f(x)=(x3-8)4

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

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Q: Find  y ″  by implicit differentiation. 2x3 − 5y3 = 5

A: We will differentiate w.r.t x twice using the product rule and the chain rule

Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: 3. Calculate the derivative of f (x) = x2 +1 showing all your work.

A: Using the formula u by v = vd/DX(u)-u d/DX(v)/v^2 According to the bartleby guidelines I can  solve…

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

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Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x - 1 (бх? + 6х — 4)arctan x(- In(6x2 + 6x – 4) +…

A: Given function is  y=6x2+6x-4arctan x Taking log to each side, we get lny=ln6x2+6x-4arctan x   We…

Q: 4x +2 x-12 7. f(x) = 2x

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Q: Find the derivative of f(x) = (1 + 7x2)(x − x2) in two ways. 1. Product Rule 2.Perform the…

A: For product rule we use u=1+7x^2 and v=x-x^2Product rule = u'v+uv'Answer: f'(x)=1-2x+21x^2-28x^3

Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

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Q: 2 Find the derivative of: 9/x + 4x – 2 - - d 2 + 4x - - dx II

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Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: Find the derivative of f (x) = (=7 – 4z) (= ² + 4z – 1).

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: f(x) =  3 − 3x − x2 x2 − 5  f '(x) =

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Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: 2. f(x) = V-3x+ – 2

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Q: Find the first derivative of f (x) = 2* 2*

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Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: equation of the function f whose graph passes thro f'(x) = x/25 - x²

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Q: f(x) = 3 sin 1 (x²)

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Q: 2) Use logarithmic differentiation to find the derivative (Vx + 3)(x – 7)5 f(x) : (x3 – 4) - -

A: Given function is fx=x+3x-75x3-4 Given function can be re-written as: y=x+3x-75x3-4 Taking logarithm…

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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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: