estion 9 Find the derivative of f(z) = 3z13 - 4+1. IDo? la sin (a) f' (x) =}

Q: Derivative of y=sin(cos3x)-sinx cos3x

A: Given that: y=sincos3x-sinxcos3xDifferentiting    w.r.t.xdydx=ddxsincos3x-ddxsinxcos3x…

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=x^{2}…

A: The given function,  f(x) =x2e-x .........................(1)  differentiate with respect to x

Q: Derivative of In |x| Differentiate In x, for x > 0, and differentiate In(-x), for x < 0, to conclude…

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Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: dy Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y³. dx

A: Given that: 3x2 +2xy = -4y3. Find dy/dx. We know that derivative of xn is nxn-1.   Here i attached…

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Calculate the derivative 25 using Part 2 of the Fundamental Theorem of Calculus. 25 dt =

A: Given: ∫-1x6t2-t25dt

Q: 2. Find the third order derivative of y = In(secx + tan x). a. secx b. secx tan x c. - sec(x) + 2…

A: Explanation of the answer is as follows

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.f(x)=x…

A: Given function is: fx=xe-x Differentiating above with respect to x we get, f'x=ddxxe-x⇒f'x=e-x-xe-x…

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: Sketch the x^2 And the derivative And integration

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Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: roblem 1: Compute the derivative of each function a. f(x) = [ e' sin(3t) dt b. g(x) = | e' sin(3t)…

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Q: se LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: (x) = -2x 1 at point…

A: Topic:- calculus and geometry

Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

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Q: Compute the derivative of the function y = 6 sin-'(x) at the point x = (Use symbolic notation and…

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Q: derivative of y=[x+(x+sin2(x))3]6

A: Given,

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

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Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: equation of tangent line of f(x)=5x^3+1 at x=1 is * O y=15(x-1) O y=15 x-9

A: Given: The function f(x)=5x3+1 and a point x=1

Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: we have to find the second derivative of the function at the given point. f(x) = cos x2 , (0, 1)

Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26

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Q: How do I find the derivative of this problem?

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Q: Calculate the derivative 21 using Part 2 of the Fundamental Theorem of Calculus. 21

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Q: The second derivative of y = ln(sec x) is а) у 1 - tan x b) y = tanx sec x c) y = secx · tan x d) y"…

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Q: Find the derivative of: -2 sin (2x"). Hint: sin (x) = [sin(x)]...so use the chain rule (twice Submit…

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: sinh x O Compute the derivative of f(x) = (cosh x)

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Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: dx as a function of x if dt Find dt2 x sin x. dt?

A: We will solve the following

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

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Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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Q: Find the general anti-derivative of f(x) = 3. + Vx on a continuous interval. Please select file(s)…

A: topic - integration

Q: Find the derivative of y 3 sin x +5 cos x A. 3 cos x +5 sin x C. 5 cos x +3 sin x B. 3 cos x-5 sin x…

A: Differentiate wrt x

Q: Determine the n-th derivative fn) of the function f: (0, +0) → R, f(x) = x ' exp ( 1 - ), n EN

A: f(x)=1x,  f:(0, +∞)→R,…

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: Explain theorem 11—Second Derivative Test for Local Extreme Values?

A: Second Derivative Test for Local Extreme Values: Let f be a function defined on an interval I and…

Q: Find the critical numbers of the function and apply the First Derivative Test to identify all…

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Q: The second derivative of an anti-derivative of a differentiable function F R-R is: O possibly…

A: The second derivative of an anti-derivative of a differentiable function f:R→R is

Q: Using differentiation rule, find the derivative of the function ƒ (²) = [2 + (² ² + 1)²³ at _z = 1 +…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Q: 4 Find the derivative of f(x) using first principle %3D 3x2-3 of differentiation.

A: