(a)Find the equation of the tangent line to the curve 8x'y - 5x? + 7y° = 10(x-3y), at the point (2,-2). e*; -3x. (b) Given that f(x,y) = 6x³y³ - cosx + 5y-siny + 10x²- find f; fw i fy; f %3D ух

Q: Find y' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

A:

Q: Find a point on curve y = (x-3)2 where the tangent is parallel to the line joining (4,1) and (3,0)

A:

Q: 3x2 + 5y2 = 8 curve is given. a) Find an equation for the tangent line at (1,-1) 24 b) Show that y"…

A:

Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

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

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

A:

Q: Q3) Find the derivatives of the following functions a) fy=cos u, u=2x+x/2 find dy/dx at point(0,2)…

A: i am solving 1st two question for last question repost.

Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

A:

Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

A:

Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: 3. y= (sec ³x + tan ²x)

A: Topic:- application of derivatives

Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

A:

Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

A: Given; y^2+x^2=siny+4

Q: Find the general solution to x^2y'' + 4xy' - 10y = 0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.