Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

A:

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) > 0 and f"(x) <…

A:

Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

A:

Q: Let f(x) = – 5 In(7x) f'(x) =

A: Given,           fx=-5ln7x

Q: -7 Let f(x) 7xVI + f'(x)

A:

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: Let f(x): V (x+4)6(2x - 1) (4x + 4)4

A:

Q: Determine p′(x) if p(x)=ln(5x^2+x+6/x^3/5 tan(x)).

A: Given query is to find the derivative of the function.

Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: Let ƒ(x) = − 2 sin¯¹(e8²) ƒ'(x) =

A: Given query is to find indicated derivative.

Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

A:

Q: Compute the derivative of g(x) = cos(t) dt-

A:

Q: Let f(x) = 6x4 In(x) + 3 ,5 2. 5 f'(x) = ||

A: The objective is to find the derivative.

Q: etx +1 Differentiate the function f(x) = In e* +1 O e*+1 4ex +1 4e4x ex etx +1 e* +1 4e4x ex etx +1…

A: Please see the explanation below

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

A:

Q: If g(x) = g'(x) is = In(6x° – x), then the derivative of -

A: Differentiation with respect to x,

Q: Let f (x) =e*. sin(x²). what is the correct result of the derivative of f with respect to x?…

A: This question is related to differentiation, We will solve it using given information.

Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

A:

Q: If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ m' (x) =…

A: Stepwise explanation is given below Explanation:

Q: Find the derivative y = e* In x In x ex E + e* In x O None of these

A: Use product rule:-

Q: Let f(x) -4 - 8x Va + f'(x) =

A: Solved below

Q: 3 K(X) = X ³²³ In (x)

A:

Q: assume f(g(x))=x and f'(x)=1+f2(x) for all x. show that g'(x)=1/(1+x2)

A: Differentiate both sides of f(g(x))=x with respect to x. Use chain rule on the left side.

Q: Let f(x) = 6x* /T + f'(x) =

A: