(x) is continuous function find A for the following: xy - x² = y² = x B- Find at the following: C- Find f' of the following: 1) √2x³x² + ln x² 2) 3xe³x+1 3) sin-¹(³). # x-4 A-1, x = 4. W

Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: Simplify and find for each of the following functions without using product rule and dy dx DENT…

A: As per guidelines we are allowed to solve one question at a time so i am solving first one please…

Q: Find the derivative, f'(x), for f(x) = S dr 3 sinr+2 (₁²³+√7) X A f(x) = B f(x)= −sinx − 2 x²³+√√x X…

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Q: dy dx (b) y = (x³ - 2x + 8) (x² + 4) 1. Use the Differentiation Rules to find (a) y = 6x³ + 3x√x -…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: 9. f(x)=T √√5x²

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Q: 01:- Find the first order derivative of each of the following functions: (1+x)3 sec(x2) y = ex.sin2…

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Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: Find the differentiation of the following functions: f(x) = x* – 4x³ + 4x² i. i. y = *+16 y = x/3 +…

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Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: If ƒ is a differentiable function, find the derivative Y = ƒ(√x) fı x + √√ f(x). 1 ○ y = ƒl (√√x) +…

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Q: Q3: A) Find the derivative for the following functions: 1) y = log(x Sinx) 2) y = tan(x') 3) y = (x…

A: The derivatives of the functions:   3) y=xsinx+2 taking logarithms both sides, log y=log xsinx+2log…

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: prove the following relationships. Note that x(z) = ] [x(+)]. 1. ] [ a^² XLE)] = x ( ² / ) 2. ] […

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Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

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: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: Use the rule for square roots: f'(x) 2/ F(x) V F(x) to find the following derivatives (quickly d V…

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Q: dv g) tan(x- y) = y 1+x² d 1/₂ (tan ex-x) = $x (1+x) dx dx Sec² (x-y). (1-dy) = dx Sec ³ (x-y) - dy…

A: Given query is to find the derivative.

Q: Find the function ƒ with the following properties. ƒ'(x) = sin t + 2t; ƒ(0) = 5

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Q: Differentiate the following function: u' = = u = √√ +² +6√√√+³

A: Differentiate both sides with respect to 't'

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) =…

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: (x² +8) cotx 2 - cos x csc x Find f' (x) when f (x) = 2x cot x – (x² + 8) csc²x A. f' (x) = csc²x 4x…

A: As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Product rule: f·g'=f'·g+f·g' The…

Q: Let f (z) = (7z + 9) (i – z). What is the real part of the derivative f' (1+ i)?

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Q: 2. Use Power, Product and Quotient rules to find each derivative a) (3x – V)(3x5 – 4x²) b) g'(t) if…

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