Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y2 + z²; x = p sin o cos 0, y = p sin ø sin 0, z = pcos Enter your answers in terms of p, ø, and 0. || ||

Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Differentiate y = In (cos² 3x).

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Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: Find the second derivative of y = 6xcosx.

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Q: Which of the following pair of functions is linearly independent? (a) e, e(*-3) (b) 4, sin2x+ cos2x…

A: Which of the following pair of functions is linearly independent?

Q: d -(cos(x² – 2x)) dx Evaluate

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Q: y = cos(-4x)

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Q: Find an equation such that y xe" cos(2x) is its solution.

A: To find an equation we derivative both side with respect to x.

Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

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