If f(x) = sinx + cosx sinx - cosx 2 show that f'(x) = sin 2x – 1

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

A:

Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

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

A: 1. f(x)=sinx22. f(x)=sin4x

Q: Can someone compute this into decimal form. f'(4)=-sin(4)-3sec²(4) Thank you

A: we already have f'(x)=-sinx-3sec²x so,f'(4) =-sin(4) -3sec2(4)

Q: Check whether the function f(x) = cotx and f(x) = sin2x is well-conditioned or ill- conditioned at x…

A: A function is said to be well-conditioned at a point if small changes in the input result in small…

Q: 1 f(x) = x? cosx sin x + x' 4 3.

A: We will simply do the differentiation with respect to x for each term as follows

Q: need help finding F'(x) and f''(x) when f(x)= 5x^3-2/x^2

A:

Q: d dx f(x)=sina, f(0) = 7.

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: f (x) = cos-(sin(x² + 3х))

A:

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: tan x – 2 If f(x) sec x f'(x) = f'(4) =

A: f(x) = (tan x - 2)/sec x f(x) = (tan x/sec x) - (2/ sec x)        = (sin x * cos x /cos x) - (2 cos…

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: Let g(x) = cos(10x − 3). Find g^(33)(x)

A: