04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

Q: 2: Evaluate : |x log(1+x) dx

A:

Q: Find dv V= log 1-Cask I+Cast where n-782

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Q: Solve ylogydx + (x- logy)dy = 0.

A:

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

Q: Q1: A) Find for the folowing function : Y = log2(3X² + 1) ³ %3D dx

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Q: b. (3.4)' log(14) + v287

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Q: Solve  x (dy/dx) + 2y = logx

A:

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: Suppose log. (2) = 3 and log.(5) = 7. Find the following: %3D

A:

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: d Find dr (6 log,(x) + 18)

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Q: Find y1 y=(ln x)-1

A:

Q: Find dy/dx y = x 2/ (1+log x)

A: In general logx is considered as so find the derivative accordingily

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: a) y = (3x²-7) 5 (x²+x)9 7x b) x= c²² Sin²x (x²_qx+5)³ C) y = (Sinx) Sin - ² x 3

A:

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Solve Y for csc(3Y) + e2%cot(y²) = log2/xy dx

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Q: Differentiate the function R w = 4 w − 5 log9 w

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