0(x) = (x) log x T(x)= = - 0(x) log x T(t) dt t 0(t) tlog² t + S₁ -dt. and,

Q: i) f(x) = x lnx mg

A: Formula for the derivative of the product of two function

Q: for: Q1) Find dx 1) y = log3(3x³ +x²)² x In(sec-1 /ã)

A: I have solved question 1 for next question repost.

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: part ii, thank you very much.

A:

Q: If ƒ(x) then f"(x) = · = 0 X (t³ + 5t² + 1) dt -

A:

Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

A:

Q: 3 Differentiate if x* log,(2+vx) f(x)=|

A: Here the differentiation is in the following steps

Q: Let ƒ(x) = log₂(x + 1) and g(x) = log₂ (z − 1). Find h(x) = f(x) + g(x). - O a) h(z) = log₂ (21) Ob)…

A: This question is related to Functions, we will solve it using given information.

Q: T(X) = 4 +

A: We have to find

Q: #11

A:

Q: Find f'(x) of f(x) = 3π√123

A: given: fx=3π123 we have to find f'(x)

Q: Differentiate f(x) = log, (9 – 10x).

A:

Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: What is f’(2) for the function attached below?

A: We have to calculate the derivative of the given function at x=2 f'(2)…

Q: Find f'(z) of f(z) = Log(z2i).

A: Given complex function is  f(z)=log(z2i)

Q: Let g(x) = log3(æ). Find g'(4). g '(4).

A:

Q: Find f′(x) if f(x) = lnx / x2

A:

Q: Show that b) logi = (2n + 2) ri лi (n = 0, ±1, ±2, ...);

A:

Q: g(x)=log,(5x4-3*). Find g'(x)

A: