1. Find the differentiation of the following functions with respect to x I. y = Jx3 + 5x – 7) II. y = 2 (4х-5)3 III. y = sin³ (3x + 1) + e-x²+6

Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t…

Q: Find y" by implicit differentiation. x² + 6y2 = 6 -2 12 y" =

A: Topic -double derivative using implicit differentiation

Q: /3 store the functian fCx) = (2.7x³-37+5) in your graphing utility. Usethe numeric differentiation…

A: Given: fx=2.7x3-3x+523 To Find: i. f'0 and f'4.3ii. Graph fxiii. Number of Horizontal Tangents

Q: Use implicit differentiation to find an equation of the tangent line to the cardioid at the point…

A:

Q: Differentiate the following functions using INCREMENT method of differentiation: 7. y=9a²x+8b; where…

A: 7 y=9a2x+8b8 fx=3x-810x+79 n=5am+225a2m2-10am+4

Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: Use the technique of differentiation to find the derivatives of the follow- ing functions. (1) y =…

A:

Q: Find y" in terms of x and y. You must use implicit differentiation for this problem. 1- xy = x – Y

A: Given : 1-xy = x-y

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

A: