2 X _ 4. Determine the domain of the function: y = ln

Q: Find y '  by implicit differentiation  9 x 2 - y 2 =1

A:

Q: Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use…

A: Given a derivative of a continuous function y=f(x)

Q: Find the derivative of the algebraic function.

A:

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: Sketch the graph of the function y=|ln|x||.

A: Given:  Function y=f(x) = |ln|x|| To Find: Graph of function f(x) Concept used: Consider the graph…

Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

A:

Q: 5. Use logarithmic differentiation to find the derivative of these functions. (a) y = /Te* (x² +…

A:

Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

A:

Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: # 22 The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an ry X…

A: The probability distribution function is f(x)=21-1x2; for 1≤x≤2 and 0 otherwise. So in the graph of…

Q: (a) By using definition of differentiation, find f'(x) when f(x)= 3x - 5x (b) Given f(x)= (log(4x –…

A: Given: fx=3x-5x2 we know that ddxxn=nxn-1                                                ..1

Q: Let f (t) = e Use the results of Section 3.2 to find the derivative of f at the given numbers. Give…

A:

Q: 100 The derivative of the function 1 is equal to ecos z

A:

Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

A:

Q: Find the derivative of the function. 4 = 3 + 8cos x

A:

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

A:

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: By the finite difference method f'(x)=f(x+h)-f(x-h)2h                [Second order approximation]

Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: 1+ 2x f(x) = 3 – 4x %3D

A: using derivative formula  for division of two function

Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: given: f=x3y2-yx+lnx to find:fyyxxx

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

Q: The graph of the derivative of a function is given. y For which x is the (original) function…

A: The graph of the derivative (f') of the graph f is given. Now, the original function f is increasing…

Q: Determine for what values of x the function f(x) = 32 ln(x) − x^2 + 6x − 5 has a tangent line with…

A:

Q: Differentiate the following function Y=ln(x^2-1)/(3x+2)^2

A: Derivative of logarithm function

Q: Which of the functions whose graphs are given below have a negative second derivative for all x? AV…

A: The second derivative tells us whether the graph of a function is concave up or concave down.  If…

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Consider the following integral: ∫e3xdx Substitute 3x=u→3dx=du→dx=13du in the above integral:…

Q: (8) Giry thieo examplos of functions f=IR→ IR is not megasurable. -

A: The objective is to find the example of a function f:ℝ→ℝ which is not measurable. Example:1 Let…

Q: Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use…

A:

Q: The définition of the first derivative of a function f(x) is:

A: Explanation of the answer is as follows

Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: 2² – 6 Calculate the derivative function of g(x) Write your result as a single fraction. %3D 5а + 1…

A:

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Given that: 1-5x To calculate antiderivatives, ∫1-5xdx=∫1·dx-∫5xdx=x-5lnx+C

Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: (0. §) Find the equation of the function f whose graph passes through the point and whose derivative…

A: you can clearly understand if you follow the below solution

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

A:

Q: Find the slope of the graph of the function at the given point. f(x) = 7x5 + 8x − sin(x), (0, 0

A: solution: the objective is to find the slope of the given graph

Q: Find derivative of the functions xx-1 2

A: The detailed solution is as follows below:

Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: The first step in using logarithmic differentiation to find the derivative of f(x) = x+1x4+1)3/2 is:…

A: Given, f(x) = x+1(x4+1)3/2

Q: 1 :) 100 is equal to The derivative of the function esin x

A:

Q: 4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5

A: topic - derivative

Q: 5. Find a function f(x) whose derivative is f'(x) = +1. (Hint: (x + 1)/x=1+1/x)

A: 5) derivative of a function is given, to find the function we have to find the anti derivative of…

Q: 5 Let f(x) =x -e*. Find the value of x for which the second derivative f“equals zero. 2

A:

Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…

Q: 5 Find the derivative of f(x) = -4√x + T8 Type your answer without fractional or negative exponents.…

A: To find the derivative of the given function.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.