Directions : Find the derivative of the following funch ons- ー3 y= %3D (カースで)

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: Find the approximate volume of a spherical shell whose linear radius is 3 inches and whose thickness…

A: Find your answer below

Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Calculate following derivative if y(t) = 5t-3 + 4r². %3D (Use symbolic notation and fractions where…

A:

Q: compute the derivative

A:

Q: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which…

A: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which…

Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png In sin-1 -1(X` 2, y = e

A:

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: calculate the derivative. y = cosh2(9 − 3t)

A:

Q: In the given equation/s , find the slope of the graph of the function at the given point. Use the…

A: we have,  y=26-sec34x we have to find the tangent to the graph on the point (0,25)

Q: Find the derivative of the function. y = (tan-1(4x))2 y' = %3D

A:

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Using implicit differentiation, for the equation z5+y = 12 is .

A:

Q: Using implicit differentiation, for the equation r3+ y³ = 7 is y?

A: Solution is given as below:

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

A:

Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

A:

Q: Find the derivative of x2y? + x³ + y = 8 at (2,0). %3D Find the derivative of y = cot-2 (x).

A: 1) The given function is x2y2 + x3 + y = 8 and the point is (2, 0). Evaluate the derivative of the…

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

A:

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Find the derivative of ?(?) = 6 sec2(7x? − 3).

A: Follow the procedure given below.

Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

A:

Q: Using implicit differentiation, for the equation z5+y = 12 is

A:

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

A: Consider the function  fx=43x+7point : −3,3

Q: Find the second derivative (y") of y = cot(3x³)

A: Given,        y=cot(3x3)

Q: Use implicit differentiation to find y'. 7x2 - y? = 28

A:

Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3)…

A: Given query is to find the value of x where seri is -1.

Q: 3. y= In (*+1), (x+2)3 (x+1),

A: 3. The equation is  y=lnx2x+1x+23

Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

A:

Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

A:

Q: Find the derivative of the function. y = 95-z? y' =

A: y'=?

Q: Find the derivative of the function. y = In(xvx' - 5) y' = Submit Answer

A: Solve by derivative

Q: Y = (3x° + 2)4 ;y"

A: Solution: Consider the given that: Y = 3x3+24 We know that the derivative of the function y =…

Q: Use implicit differentiation to find at the point (-2,3) on the curve a + y° = 19.

A: Implicit differentiation

Q: Find the derivative of the function. y = 4sin(Tx) y' = %3D

A:

Q: What is the second derivative of y = sec “(3 x) ?

A: For the question 1, none of the options match. If the question had asked for first derivative of y…

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Write the equation of the tangent to the graph of xy^3+xy=16, at the point (8,1).  Write all of…

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Q: Find the derivative of the function. y = x²V25 - x² %3D %3D

A: Differentiate wrt x

Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: Find the derivative. y = x-3 %3D %3D

A:

Q: Find the derivative of ƒ(z)= 5z10 – 23 +2 f' (z) = %3D

A:

Q: What is the derivative of cy = 2 - a°y ?

A:

Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: What is the derivative OF a Arcsin X y= 3

A:

Q: Find the derivative using the definition 1- y = vx -1

A:

Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: