The first derivative of f(x) = will be 5x* – 6x 10х3 — 3 В. (10х3 — 3)/(5x* - 6х) А. V(5x* – 6x)³ 3 — 10х3 с. (3 — 10х3)(5x* — 6х)3 D. (5x* – 6x)³

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

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: 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: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: Find the derivative of ƒ (x) = 5ª In (x).

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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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 the function. y = 3x + V3 3x + V3x y' =

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Q: Find second derivative of f(x) = 2x^2+5x-1

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Q: and second derivative for x^2 +

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

Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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

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Q: 9) Find the derivative of y = (4x + 3æ²) (6 – 3æ) Use two methods: Product Rule and Foil First…

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Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

A:

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

A:

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 y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

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

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Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

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: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: Find the first and second derivative if w = 3z-2-(1/z)

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

A: Solve for the derivative

Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

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Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: 6. 3. Find the derivative of: -2Vx++ 5x – 8

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

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

A:

Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

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

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

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.) y=…

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Find the derivative of f(x) = e2" (3z² – 2)

A:

Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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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: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

A: