SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

Q: Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. 70 Find f)

A: Given that      f"(x)= -36sin(6x) , f'(0)=6 and f(0)=0 .

Q: If f(x)= tan^-1 sqrt(5x), then f'(x)= ?

A: Consider the given function. fx=tan-15x The derivative of the function is defined as,…

Q: Find y' if y = (cos(x))ln(x)

A:

Q: If f(x) = 3x sin cos x, find f'(x)=-4.88 To two decimal places, Find f'(2) = -7.21 X

A:

Q: F(x)= tan^-1(7x) Find, F'(x)=

A:

Q: 2. Find f'(x): A. f(x)= 3x²+4 2x²-5

A:

Q: let f(x) = cos(e^x^(5sin(x)) what is f’(x)

A: Given that f(x) = cos(e^x^(5sin(x))  To find the derivative of f(x)

Q: y= 16 +. 16 tan' (7x) y=e

A:

Q: | sin'x-cos'x dx

A:

Q: If m(v) =ln(sin^2(v)+1), find m'(v)

A:

Q: If f(x) = sin(a²), find f'(x). Find f'(3).

A: 1. f(x)=sinx22. f(x)=sin4x

Q: If y = I, find f' (8) and f" (8).

A: This question is based on differentiation of function.

Q: f(x) = sec(x) tan(x), then f'(3t) =

A: First derivate then put the value

Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans.…

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Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

A:

Q: If g(x) = sin(x) then g'(x) = g'(3 =

A: Use the definition of the derivative of a function.

Q: Find f'(x) if f (x) = 2 cos x + 3 sin x. f'(x) =

A:

Q: y =- sec (Inx) у %— — sec Find (y') x csc (2lnx)| |

A: Given,          y=-sec-2lnx

Q: Given f''(x) = 25 sin(5x) and f'(0) = 3 and f(0) = 6. - Find f() = 6

A: Given that  f"(x) = - 25.sin(25x)......   (1) f'(0) = 3 f(0) = 6 To find  fπ6

Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

A:

Q: Find f'(x) if f (x) = 3 cos x + 8 sin x. f'(x) =

A: We need to differentiate the given Function.

Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: if S 3 then S f(x) dx = 43 and I f(x) f(x) dx = -2 -1 √ (3 Sin (x) - 4 fcx)) dx = ? -1

A:

Q: = 5 sec x tanx %3D

A: Please refer to the image below

Q: B. f(x)=ln 5x² sin x (x+7)

A: We have to find the f'(x).

Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

Q: Find f'(x).

A: The given function is,

Q: Suppose f"(x) = -16 sin(4x) andf'(0) = -4, and f(0) = 1. f(T/2) =

A:

Q: Find f'(x) if f(x)=sin^-1 (x-1/x+1)

A: We have to find