P(Z'UY') =

Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: doy= Ax²+ B Find the differential of the curve family.

A: Given curve is                                                    lny=Ax2+B we have to find the…

Q: Find y" 13. y = x²sin (3x)

A:

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: Find the direction derivative of f(x.y,z)-xy'z at the point p(3.2,1)in the direction towards…

A: given function, f(x,y,z) = xy2z3 first we need to find the gradient(∇f) of this function at point…

Q: Find y' and y". In(3x) y = y" %3!

A: Given y=ln3xx6

Q: 5b. Find y' when =etet ey

A: The equation is given by y = e2+ex2+ey2…

Q: Find all points (x, y) on the graph of y = x/(x - 2) with tangent lines perpendicular to the line y…

A: Given:

Q: Find the tangent to y = ((x+ 1)/ (x- 2))? at x = 3. |(Type an equation.)

A: Given y=((x+1)/(x-2))^(2) We have to find tangent line as shown below  We know that equation of line…

Q: dy of the curve yln x + 5x² + y' = 13 at the point (1,2) dx b) Find

A:

Q: 2xy - y² + x = 2 at the point (1,2). - Find the equation of the tangent line to ² +2

A: By using equation of tangent line formula, we find the required tangent line.

Q: Evaluate y' at the point (2,2) 5x3y - 2x2 = 72

A: The given equation is 5x3y-2x2=72. Rewrite the above equation as follows:…

Q: Consider 2a – 3y² = 8

A: Differentiate wrt x

Q: Find y' and y". x³y³ = y – 4

A: Explanation of the answer is as follows

Q: 5. Find y'. y = 3x² – 14x + 42

A:

Q: Q7// Find tangent and normal equations of the curve x³ + y3 – 9xy = 0 at points (4,2) and (2,4).

A: The slope of a curve at the point (x1, y1 ) is given by;…