10. F = -x²yi + xy²j

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

Q: Find the 2nd derivative of y = 3x6 + 7x %3D O 90x3 O 18x4+7 O 18x5 + 7

A: y=3x6+7xTo find the 2nd derivative

Q: Find the 3rd derivative of the function y (2z-8z2 +3) (z+3) O y"=120z2 192z + 42 120, 198z + 72 =…

A: We need to find the 3rd derivative of y=2x3-8x2+3x2+3 . So,      y'=2x3-8x2+3x2+3'…

Q: compute the derivative. y = 4x−3/2

A: Solution: We have given that the function : y = 4x-3/2 If y = xn be any function then derivative of…

Q: Use implicit differentiation to find az/əx and az/ðy. x² + 4y2 + 5z2 = 4

A: Given

Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

A:

Q: 17. f(x)=-- x*+8x

A:

Q: #! Find f'cx) if fex)= Čx²+SX+2)(X-)

A:

Q: Compute f(x)dx f(x) = { 2x if x<1 4 if x 21

A:

Q: of n'(x)= 2x-1/x2-x

A:

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

A:

Q: compute the derivative f (x) = 7−2x

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: . Compute f(x) dx ƒ(x) = { 2x if x < 1 4 if x ≥ 1

A:

Q: Calculate the derivative of the function. 8x +5 s(x) = 2x – 6, s' (x) = = -6 8x+5 48 2х-6 (2х-6)2 5…

A: We have to find derivative of the function.

Q: compute the derivative y = (2 + 9x2)3/2

A:

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: Find the higher-order deriv f"(x) =6Vx – 4 f(5)(x) =

A:

Q: Compute the derivative of 6x2 f(x) = In(r) %3D

A: We have to find derivative

Q: compute the derivative y = 3x5 − 7x2 + 4

A:

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

A:

Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

A:

Q: If 5x2+2x+xy=45x2+2x+xy=4 and y(4)=−21y(4)=-21, find y'(4) by implicit differentiation.

A: We have given the function

Q: Find the derivative of the function. f(x) = 5x2 + 4x + 5 O 5x + 4 O 10x2 + 4x O 10x O 10x + 4

A: Given f(x)= 5x^2+4x+5

Q: Compute the derivative of: f(x) = 4/x+1/(5x^3+2x)

A:

Q: Find f'(1) for f(x) = In(v6x – 3).

A:

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: f (x) = 5x* f(x) %3D 12x5—4х4

A:

Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: 5. * y = ( In æ)²

A:

Q: Suppose f(æ) = |x| · x Then f-l(x) = if æ > 0, and f-'(x) = if x < 0.

A: given that fx= x.xfind f-1x for x≥0 and x≤0

Q: The higher derivative of y = 5x³ – 2x is O 15x2 – 2 О 30 O 30x

A:

Q: ind the derivative of y = (x + 2x + 5)°. 6(2x + 2)(x + 2r + 5) 2x + 2 (x2 + 2r+ 5)6 6(x + 2x + 5)…

A: Power rule of derivative :  (d/dx) (xn ) = n x n-1

Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

A:

Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

A:

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: find the derivative af: 5y 2.5x/2 1) =xe ye

A:

Q: Differentiate the function. y = (In(1 + ex))8 y' =

A:

Q: 2) Usc the product rule to find the derivative of y= (4x+5) (x² 2x)

A: The given expression is : y=4x+5(x3-2x)             …(1) If y=uv Applying product rule on above…

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: 5, what is f'(x)?

A:

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

A:

Q: Find the derivative of the following function: 5x2 f(x) = x + 47 f'(x) = 10r f'(x) = 10z2+470z…

A:

Q: If f(x)=e^cosh(4x) then f'(x)=

A:

Q: Find the first derivative: y = In V2x3 -5 222 O y' = 2z3-5 5z2 O y' = 223-5 3z2 O y'= %3D 223-5 O y'…

A: Using Chain rule Y= f(g(x))  so Y' = f'(g(x))•g'(x)