dy Given that y = x² log2(6 – 5x), find dx

Q: 5. Find 3/4 secr dr

A: Known fact: ∫sec2θ dθ=tanθ+C

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

A:

Q: x log x Evaluate:| dx.

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Q: dy Find L y = ln (2²+4) + + Icos HIN

A:

Q: Water is leaking from a pipe and the volume,V litres is decresing at the rate (6-t) litres per per…

A: Express the rate of decrease of volume V with respect to time t, as follows: The negative sign…

Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: 7 dx 7 X. de

A: Given that, y=x7+7x7   We have to find, dydx

Q: Find dy/dx. y=15

A: The rule for differentiating constant functions is called the constant rule. It states that the…

Q: nx dx = ?

A:

Q: y = 1 V25-x2

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Q: Evaluate f (e* + 2x)² dx

A: We need to evaluate ∫ex+2x2dx. So,                ∫ex+2x2dx=∫ e2x+4exx+4x2dx=∫ e2xdx+∫ 4exxdx+∫…

Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

Q: cosh x dx е e- 2х

A: Given integral is ∫coshxe-2xdx

Q: y=coth 1/x

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Q: y= logx? + 4 Find dy 3 dx

A: