Find the derivative of the following using First Principle. 1) y = 1 2) у %3D х 3) f(x) = 5x3 %3D 4) y = -2x? + 3x – 12 5) f (x) %3D х2 + 15х -4 |

Q: Find the 1st derivative of the following. Differentiate implicitly. Simplify your final answer but…

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Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

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Q: D Question 10 Find the derivative. y = 3x² +9 3x2 - 6x +9 (3x2+9)² px−1(3x² - 6x + 9) z(6 • z*E)…

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Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4…

A: Given:        y= x+12x2+1-3

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: y = V4x² + 5x

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Q: Find the derivative of each function include all steps

A: Question explained below : Explanation:ANSWER : ( e ) ​​   ANSWER : ( f ) ​​   ANSWER : ( g ) ​​…

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

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Q: a) f(x) = x28 + e-x 2x + 13 b) h(x) = e³x³-4x²+2 + 5ln(x³3 -x+ eⓇx) c) y = x²2 (12x³ - 25x) 42

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Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2)…

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Q: (x+1)3 Find the derivative of Select the correct response: (x + 1)² (x + 1)3 4(х + 1)2 2(х + 1)3 3(x…

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Q: 1)y = (8 +7x³)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (a) -3r*, (b) x* + 4r3 + 6x2 + 4x + 1, (c) Ar10 + bx+c (A, B and C are constants).

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: Q2) Derive the numerical differentiation formula 2fo - 5f-1+ 4f-2 - f-3 h2 f"(x) = Find the optimum…

A: According to the given information it is required to find the optimum step size that minimize the…

Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

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Q: 3. Find the second derivative of f(x) = 2sin²(3x) а. 36сos? (3x) — 36sin? (3x) b. 36сos (3x) —…

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Q: Differentiate the following: 1. y = 5 – 4x – 3x* 2. f(x) = 1x 2x 3. Н(2) %3D (1 —52?)4/3

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: a) y = -5x6 b) y = 6x2 c) f(x) = -7

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