4 Find the derivative of f(x) using first principle %3D 3x2-3 of differentiation.

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: 8. Find the derivative of f (x) = 2tanx – 3secx. Show all steps -

A: We have to find the derivative of the function fx=2tanx-3secx Then,…

Q: Find the derivative of the function.

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Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

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Q: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

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

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

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: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: 7) f(x) = 3e In x %3D

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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: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the…

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…

Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: Find the derivative of the function by using the rules of differentiation. f(x) = 2x4/3 - x3/2 + x²…

A: Given that:f(x)=2x4/3-23x3/2+x2-6x+1

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

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.

Q: Use logarithmic differentiation to find the derivative of V3x-7 cos²(x) ex (5x2 +9)* f(x) = %3D

A: Given function is : fx=3x-7cos2xex25x2+94  To find the differentiation.

Q: 2. y = x5 + 2x* + 5x3 + 4x² + x +1

A: Find the derivatives by applying basic differentiation rules.

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the second derivative using implicit differentiation of x2+8y2=8

A: Given:

Q: b) Use the method of Differentiation from first principle to prove that the derivative of the square…

A: To prove  ddxx=12xLet  f(x)=x

Q: b) Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Consider the provided information, ddxx=12x Prove that left hand side is equal to right hand side.…

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

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Q: Find the derivative of f(x) = v3x + 1 using the general formula for differentiation.

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Q: find the derivative of the function using the techniques of differentiation:f(x)=x^2+3x+ ^3sqrt(x)

A: Given a function in x, f(x) as shown below. We need to differetiate f(x) with respect to x.

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…

Q: Find the derivative of y = csc(V3x² +1

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

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Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

Q: f(x) = 3 sin 1 (x²)

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

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

Q: Find the derivative of f(x) = ln v4 – x2 %3D

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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: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

A: Questions basically from differentiation.  Note-As per our guidelines we are supposed to answer only…

Q: Find the derivative using the definition 1- y = vx -1

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: Find the derivative of the function by using the rules of differentiation. f(x) = 0.006x³ – 0.02x² +…

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

A: