5. Let f(x) = |cosx),x € (0,21). Determine that where the function S is differentiable, and where it is not differentiable in the interval (0,2n). Also, find the derivative at the points of differentiability.

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

A:

Q: 5. Why does it make graphical sense that the derivative of aconstant is zero? That the derivative of…

A: Derivative of a function is a slope of function on given point, or derivative is a rate of change of…

Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A:

Q: Show that the given femction satisties G-R Q. 4. conditions at origin but doesnot have a derivative…

A: Given we have given a function  f(z) = (x3-y3)+i(x3+y3)x2+y2,    if z≠0              0            ,…

Q: • Find f (x) of f(x)=by using the definition of the х-1 derivative. • 1- Find if y=3t-4 and t = Vx +…

A:

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

A:

Q: Show that the function y=| × | is differentiable on (-o,0) and (O, c0) but has no derivative at x =…

A:

Q: 9. Suppose for sume funchion f we have its derivative, f'x) = e*sin(x), on the %3D interval o< x<…

A: We can use application of derivative in order to solve the given problem.

Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y= In (In 5x) O A. 1 5x ОВ. 1 x…

A:

Q: 8. Given that f(r) is continuous at r = 0, is f(r) differentiable at z = 0? (If yes, find f(0) using…

A:

Q: Define a function f : R² → R² by f 2.у 1. Show that f is differentiable on A = E R² |x > 0, y > 0}…

A: To show that the function f defined as below is differentiable on A and compute its derivative

Q: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

A:

Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

A:

Q: 3. Estimate the derivative of the function, f(x) = cos x + tan1 x, at xi= 0.5 using Richardson's…

A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…

Q: Suppose that f is a differentiable function with f(2)=5. If the tangent line to the graph of y= f(x)…

A:

Q: Find the derivative of the following functions: [1 mark 1 12+5 (a). f(z): [0.25 Mark] T2 - 5 (b).…

A: f(x)=x2+5x2-5differentiate…

Q: / f'(x) sin x dx = 8, / f(x) cos x dx?

A:

Q: II. Compute the right-hand and the left-hand derivatives as limits to show that the following…

A: Given,

Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

A:

Q: Suppose g: IR - IR is a differentiable function with bounded derivative, Fix e> 0 , and define flx)…

A: to show f is one one we will show that for  x1 not equals to x2 , f(x1) is not f(x2)

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y= In(In 9x)

A: The solution for the above question is as shown below.

Q: Let y = f(x) be a differentiable function. If the derivative of f is zero at x = a, then the…

A: Given statement : Let y=f(x) be a differentiable function. If the derivative of f is zero at x=a,…

Q: Consider the function f(x) = x ² + 3. Part 1: Compute the slope of the the tangent line to y = x2 +…

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)…

A: Given that:y=ln1-xx+35To find derivative

Q: Consider the function f (x, y) = x²y³ – 3xy³. Compute the value of the derivative frvy at the point…

A: Given function is f(x,y) =  x2y3 - 3xy3 we have to find fxyy at the point (2,1).

Q: . Use the forward-difference formula to approximate the derivative of f(x)= Inx at x, =1.9 using…

A: Forward Difference: For small values of h, the difference quotient can be used to approximate with…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

A:

Q: 3- Show that this function is differentiable for all and find its derivative f(2) = f(x+jy) x - 15x…

A:

Q: Suppose that y is a differentiable function of x and w = sin(y2). Express the derivative of w with…

A:

Q: Let f be the function with derivative given by f' (z) = sin z +I cOs z for 0 <z < 7. On which of the…

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A:

Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 2. Show that the function psin(2r) e-*dt g(x) = is differentiable on R and compute its derivative.

A:

Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

A:

Q: The function f has a continuous derivative. If f (0) = 1, f (2) = 5, and f (x) dz 7, what is %3D %3D…

A:

Q: Find the derivative of the following function 1 F(x) ds Va 5+7s4 using the appropriate form of the…

A:

Q: 1. y = cos2(2x − 1)

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. (a) Use the limit definition of the derivative to find the derivative of f(x) = V5x +1. V5yl th)-…

A: Given; f(x)=√(5x+1)

Q: 3 Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x) =

A: on solving this we get the

Q: 5. Compute the derivative, r'(t), of r(t) = (et-4, t, In(1 – t)).

A:

Q: Suppose g: IR →IR is a differentiable functionN with bounded derivative, Fix e> 0 , and defive fix)…

A: Consider the given information.

Q: Show that the function f(z) does not admit an anti-derivative in the domain N = C\{0}. Does it admit…

A:

Q: Show that the following function is continuous at x = 1 for all values of p. (px + 1, if x > 1 f (x)…

A:

Q: Let f(x) = In(1 + 7 x). Find flS(0), that is the third derivative of f evaluated at 0. f(3 !3D

A:

Q: 7. Use the limit definition of the derivative to find f'(x). Then find the equation of the tangent…

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.