Check the following functions if Piz) exist not and find f'(z) if exist: ,or D fcz) = 1Zit %3D

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Differentiate the function. u = Vi + 4V7 u' =

A: Given, u=t7+4t7 This can be written as, u=t17+4(t7)12 u=t17+4t72

Q: AJ Find the derivative of the function: In(tan(sinx) + secx). A If v = eu 1Infs

A:

Q: The reciprocal squared function f(x)=1/x^2 shifted to the right 2 units.

A:

Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

Q: Differentiate. F(x) = (8x + 3)² %3D F'(x) =

A: The given function is Fx=8x+32. We can take Fx=8x+32 as Fx=gx2 where gx=8x+3. Therefore, F'x=ddxgx2…

Q: Differentiate the function. y = ear³ y' =

A: The general formula for differentiating the exponential function is, dy/dx = differentiate…

Q: Find f’

A:

Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,

Q: 여라. (1) f(x, y) = x² + 4y², P(2, 3), Q(2.02, 2.98) (2) f(x, y) = sin (x+y), P(a/2, T/4), %3D Q…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 5 and y= 3. Which expression evaluates to 4? (x) + ()/2 x+y/2 x+ (y/2) (x+ y)/2

A: given x=5 and y=3 the first expression is x+y/2 substitute the values (x)+(y)/2x+y2=5+32=10+32=132…

Q: For the function y=inx, find f(e^2)

A:

Q: find f' in terms of g'

A: Given equationv-f(x)2=eg(x)                        ...................(1)Differentiating on both…