Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

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: Let h(x) = tan(2x + 2). Then h'(2) is and h''(2) is

A: The given function is: h(x)=tan(2x+2)

Q: Find f"(x) for the function f (x): = x cOS X

A: The given function is fx=xcosxTo find f''(x)

Q: Let f(x) = 9e* cos x f'(x) =

A: Given: f(x)=9excos x f'(x)=?   Solution: ddx(9excos x)

Q: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

Q: Differentiate. f(0) f'(0) = -0 sin (0) cos(0) = 0 cos(0) sin(0) X

A:

Q: Let f(x) 3 sin(cos x) = f'(x) =

A: Using chain rule of differentiation.

Q: If f(x) = x e sinx , find f'(x) . Graph f and  f' on the samescreen and comment.

A: f(x)=xesinxf'(x)=esinx+xesinxcosx

Q: Find the domain and range of f(x,y) = cos-'(x – y)

A: This question is related to inverse trigonometry.

Q: tan x - 5 If f(x) = sec a f'(x) = Write your derivative function in terms of sine and cosine. f'(5)…

A:

Q: Find f'(-2) for f(x) x² +1

A: