et y = f(x) = 5x² + 3x + 5 and x = g(t) = 2t + 3. Find dy = dy dt

Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

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Q: y = V3x² + 6.

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Q: dx -y = 5 dt dy = 3t dt 2x -

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Q: Compute for y = [x² + 2] y = 3 1 x2 dy dx x³ + 2x + 1 (x - 1)² 3 X

A: Given that a function  and we find derivative of this function with respect to x. Here we use…

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: Find dy/dx by implicit differentiation   √(x + y) =  1 + x2y 2

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: Find the derivative dy if y(x)- Vx+1 dx dy xp dl (O

A: Given:

Q: Let f' (t) dt = 9 and f (2) = 3. Find f (6).

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Q: P. (F(2³)) dz 13

A: We have to find derivative

Q: nd dy for d²y dx² y(x) = cot(x)

A: Given query is to find indicated derivative.

Q: dy = 4x -3 and y(4) = 0. dx Find the function y(x) satisfying

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Q: If y=x^(2)+81, find the relationship between (dy)/(dt) and (dx)/(dt) Where x,y depend upon t.

A: We have to find the relationship between  and where  and  depend upon .We use Chain Rule to answer…