Consider the equation: *(t) = [ - - Find the solution of the equation x(t).

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: The formula for a function y= f(x) and the graphs of f and f' are given. Find a formula for f-1 y=…

A: Given function is f(x)= x^7 +2

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

A:

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: For function i, i(x+4)=3x+1. Find i(-1)

A: Given function is

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: The amount of time it takes to drive sc The time of a trip is 3 hours when you a) Determine the…

A: In the given question, concept of proportionality is applied. Proportionality When the relative…

Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

A:

Q: Find D„f(3, 2), where u = cos(0)i + sin(0)j, using each given value of 0. (i) 4 (ii) 0 3 (iii) 0 3.…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Given g(x)=√x-3, on what interval is the function positive? OL -∞ 3)

A: Given

Q: If h(x)=6ex−5, find h′(x).

A:

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Find C(x) if C'(x)= square root of x and C(9)=40

A:

Q: h(x) = px³ + 4px + 1, where p and q are constants. Given that h(-1)=-41 and h'(-1)=67, find the…

A: h( x ) = px3 + 4px + qxh( -1 ) = -41 h'( -1 ) = 67

Q: Let ​f(x)=4x−​1, ​h(x)=−x−4.   Find ​(f◦​h)(4​)=

A: f(x)= 4x-1 h(x)= -x-4 (f o h)= f(h(x))