2. Given x = e t*+ 1. Find %3D i) dy/dx° i1) Eguation of the tangent line and normal line.

Q: dy tanx (4) Find if y = (sec x)" dx %3D

A: Here, we have the given function in the form of a variable raised to the power variable. Therefore,…

Q: Use the implicit function theorem; dz/dx = -Fpartialx/Fpartialz to find dz/dx and dz/dy…

A: Given expression: ln(2x3+2y6+3z5)= 14+12xyz Let f(x,y,z) = ln(2x3+2y6+3z5)- 14-12xyz We know that…

Q: Calculate the derivative indicated.

A: given,        A=dPdVV=-2     where P=7/V

Q: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: 5. y= cos™ -1 = COS (2²)

A:

Q: X tangent line 2.00 m 35.00 m 35.00 m

A: Let the length MY is y, so the radius of the circle is (2+y). Now apply the Pythagoras theorem,…

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

A:

Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: ind dy/dx by implicit differentiation for the curve  ex/y = x + y.

A: we differentiaite both sides with respect to x:

Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: dy Find using loy ithmic differentiation if y = (3x)3. dx

A: Given y=(3x)3x

Q: Find y". y = 5 cot X

A:

Q: sin -4x y =

A: I provided you with two solutions. because the question is not clear. There is confusion in the…

Q: Find of xy = x + cot y dx

A: This Question need implicit differentiation

Q: y=10tan.x

A:

Q: 3 y = Vx +=+ sinx %3D

A:

Q: d/dx (Vx)=1/vx.2 a. True b. False

A: using the differentiation  formula,       d/dx (xn )=nxn-1

Q: Differentiate the following function. y=et& dy dx d dx )= Tere

A: