(a) Assume h(a) = f (c)g(a) , f( )=-4, f' () =5, and g(x) = cscx. Find h (x). (b) Find h' using the same function h as in the previous part. sin 3a (c) Prove the value of lim Do NOT use L'Hospital's Rule.

Q: f (x) = sec(x)(3x + √x) find the derivative

A:

Q: Q4: a) Use the four steps rule, for find the derivative of function: 1 f (x) = x + 5 b) Find : lim…

A: Solution:

Q: tan(2r) lim 3r+ sin(x)

A: As we know that: limx→afxgx=limx→afxlimx→agx And we know that the identities of limit.…

Q: Find the derivative and simplify fully. You MUST show all the steps clearly a) f(x) = 2e³x - 3 In…

A: Given: a. f(x)=2e3x-3ln(2x)b. f(x)=sin2(xlnx)c. f(x)=tan(lnx2+1) We are required to find: Derivative…

Q: find the derivative: a) f (x) = arctan (arctan (arctanx)) b) f (x) = arctan ((tanx) (arctanx)) c)…

A:

Q: Use the following graph of the function f(x) to draw f'(x) and f''(x).

A: Given: Graph of the function f(x) is shown as:

Q: Given the function f (x) = (e')(In x)(x), find f'(x) and simplify.

A: We have to find

Q: find derivative of (cosh(x)-x2 ) /  (e2x-1)

A:

Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)

Q: lim х - это ax2+x - 3x

A:

Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).