Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) – 3z²(2r" – 1) g'(x) = 3x²(2r³ – 1) + 10z*(x³ + 2) %3D gʻ(x) = (3x²)(10x“) %3D

Q: d ) = (x³+1)(2x)-(x²)(3x²). dx (x3+1)2

A: Since you have posted multiple questions and we can amar one question. So, answered first question.

Q: (a) / (2.x4 + Vx3 + 4e* + + 8) dx - (b) / = x3 + 3x – 4 dx - x2 (c) (x + 4)(x³ – 9) dx .3 -

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

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Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: r(x) = [(3x-2)/(2x)], find r '(x) O O [(3)(2x)-(3x-2)(2)]/2 O [(3)(2x)-(3x-2)(2)] / x²…

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Q: h(x) = 4(2x – 3)*(2x – 5)³ , find h'(x). Factor Fully.

A: Given query is to find the derivative of the expression.

Q: Suppose that f(2) = -3, g(2) = 2, f '(2) = -4, and g'(2) = 5. Fir (a) h(x) = 5f(x) – 4g(x) h'(2) =…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: If f(x) = log,(cot(x) + a?) , then f'(x) = %3D (A) 1 (cot(x)+2?) (B) csc (x)+2x (cot(x)+r) 1 (C)…

A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

Q: (x"^y2/5)20 1/4 2/5 (x' (2) 2

A: since you have asked multiple questions in single request so we will be answering only first…

Q: If f(x) = x(e*+=') , then f'(x) = %3D %3D (A) (e² + æ³) æ(e*+z*-1) (B) (e" + 5æª) In(x) æ(e*+a*) (C)…

A: We have to find derivative of f(x).

Q: If g(x)=(2x+9)^15 (6x+5)^25 Find g'(x)=

A: Given:gx=2x+9156x+525We need to find g'x. i.e., dgdxWe will use the following formulas:ddxxn=nxn-1;…

Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

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Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: Find g' (6) given that f(6) = - 3 and f' (6) = 6. Enter the exact answers. (a) g(x) = 7x² – 6f (x)…

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Q: f(x)=3x2+2x+6 f'(x)=f′(x)=    f'(2)=f′(2)=

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Q: 3 Find g(x) if g'(x) = (60x² 80x). 24x³8x² g(x) = - X and g(0) = 10.

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Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: If f(x) = 5x4 – 2x3 –x² + 3x – 1, then | f'(0) = d2 ;f(0) = dx f"'(x)= d4 ¡f(x)= dx

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Q: (4) If y ==, then y' = x3 ex (A) (B) 3x²-x³ e4x (C) 3x²-x³ 2ex (D) (E) (F) 3x²+x³ e2x 3x²-x³ e2x…

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Q: Differentiate. g(x) = x² +5 x² + 6x X

A: Given that the expression we have to find the g'(x)

Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 9,…

A: Given: F(2)=1, F'(2)=5,F(4)=3, F'(4)=7 and G(4)=2, G'(4)=6, G(3)=4, G'(3)=9 To find a)  H(4) if…