(b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate F'(x) of the function (4) Gugh the - t) e-t² dt. Is F increasing or decreasing at x = −1? e-ºdt. (b) the dental The f 2010-² 2. (ark) Find the exact value of ♬ a

Q: Find the derivative

A: Step 1: Step 2: Step 3: Step 4:

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

A:

Q: Find the derivative

A: Step 1:Solution-Step 2:Solved with explanation.If you have any doubt you can ask for clarification.…

Q: 2) Find the tangent equation for the function f(x) = x² + 5x at the point (1,4). *****: **********

A:

Q: a) Prove that (arctan r 1+2 b) Using part(a), find the derivative of f (x)= arctan (208 )

A: Properties of derivative  f(g(x))=f'(g(x)) g'(x)ddxcosx=-sinxddxax=axloga

Q: Time left 97:05 In(5z 9) Find the derivative of the function f(x) = x* sin(6x + 14) + Answer:

A: The solution of the given problem is:

Q: Step 4 To find (f-l)'(x) use the theorem that states that if f is differentiable on an interval I…

A:

Q: 3) Show that the function 13-212+2 g(2) = is a Complex differontiable function ait the point 20 =1…

A:

Q: Using the graph of the function † (x) given beloW, determine the sign for each of the following.…

A: Explanation of the answer is as follows

Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A:

Q: Suppose that the second derivative of a function f is f"(x)= -(x+1) (x – 1)²(x - 4)°. Determine the…

A: To find the inflection point and intervals of concavity

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: For f(x) = S2x 3 for x < 1 for x ≥ 1 )' the value of 6 f(x)dx is

A:

Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

A:

Q: For each function find the indicated expression(Final Form of equation must be simplified

A:

Q: p(t) = 1 √√/t²

A: Here we have to find the anti derivative i,e integration of p(t)Given p(t)=1t23or, p(t)=t-2/3

Q: se backward-difference formula to evaluate the first derivative of y = cos(x) at - using a value of…

A: Backward difference formula for the first derivativeGiven

Q: a) Find the derivative of the following functions (i) y = x² sin* x + x cos-2 x. (ii) y = e(4vz+z²).…

A:

Q: =x sin

A: v=xsin-1(x)+1-x212 Apply product rule to take derivative for first part we know that derivative of…

Q: ind the third derivative for for f(x,y) sin()

A:

Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.