Use the chain rule to find the following derivatives: d 2. - (0²³² - 4x + 3) = [ a. @+³ 5 dx d b. - [ a 1 (100.00 dt C. dt 2000e0.06t -

Q: Integrate [xe-5x "dx

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Q: Find the derivative. d (91-7)5 dt t+4 d (9t-7)5 dt t+4

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Q: d -[x*] = xx"-1 dx

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Q: Differentiate. y= In [(x +2)° (x + 5 (x+ 7)°] [In [x+ 2)° (x +5)*(x + 7) ]] =O dx

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Q: d (9x² – 4x' - 12) 5 (a) dx

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Q: Use substitution to evaluate dx.

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Q: Find the derivative u sing the quotient rule. 2x² (3x-3) Y = dy 6x-12 dx (3x-3)² dy dx = dy 6x² 12x²…

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Q: y= c¡x+c2x²

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Q: Determine Dx[x(x-2)²]

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Q: Зx2 — Зу? %3D 4.

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Q: S-2(x-1 - x²) dx 5.

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Q: Find ∫ dx/√(e2x − 1)

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Q: - [5√3x d dx

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Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

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Q: nd the derivati

A: Here we have to find the derivative of  y=(3x5-2)13  differentiate with respect to x…

Q: Find the derivative. d dx 3x²+1 A ex-3x² +1. (3x³ - 6x) B. ex³-3x² +1. (3x² - 6x + 1) cex³-3x²+1.…

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Q: Find the derivative. d. (in (5x? + 2))

A: We have to find out the derivate of given function

Q: a. (In(x² − 3x + 1)) = = b. — (In(ex + 5x)) = d a + (n (+)) = [ C. dx +1 Hint: Use properties of…

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Q: Find the derivative of the following equation: (2x – 1) (3a? + 2) - O 48x + 36x2 + 22x + 8 48x3…

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Q: d 4. Simplify. dx (t² + 1) dt 2x

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