Ax) = 8/x + 6x

Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: The first derivative of (f(x)- (5x^4-6x)^-3 will be

A: We have to find the first derivative of the given function

Q: Find the derivative of y = (2x³-6)*(3x-2)2

A:

Q: evaluate the derivative of 3x^2+y^2x=9

A:

Q: FInd the derivative of y=(5x-3)5(2-x4)5

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

A:

Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: Find the derivative of (2x^3+3x+1)^1/3

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: Calculate the derivative of the exercise: y=(4x3+3)4(x+1)-3

A: To find: The derivative of below expression.

Q: A calculus professor introduced the derivative by saying that it could be summed up in one word:…

A: Meaning of word of calculus professor who intoduced the derivative by saying that it could be summed…

Q: Compute the derivative of f(x) = 5(-x³ + 2x² 10x – x-2). -

A:

Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: +6x^3-10x/√x

A:

Q: How to solve for the derivative of 5x^(1/2)- 4x^(-1/2)-1, fully simplified?

A: Given:5x1/2 - 4x-1/2 - 1To determine the derivative.

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: What is a derivative of -2x/(x^2-1)^2?

A: Differentiate the expression -2x/(x^2-1)^2 with respect to x as follows.

Q: Find the derivative of 4x +2 -(2) Y = -2x-4

A:

Q: What is the second derivative of the function:  f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

Q: 2dx 4х-3

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

Q: I need to find the derivative of some calculus equations

A:

Q: How  do you get the derivative of (6-18x^2)/((1+3x^2)^2)?

A: Given function is

Q: Obtain the derivative of (2r²-1)* 8. у %3 (5-3х)4

A:

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

A:

Q: What is the derivative of: 7/x^(2/5)

A: Given:

Q: What is the derivative of 2x^2 + 3x + 5

A: Given: y=2x2+3x+5

Q: 6 (x+2)(x-5)(x²+7) V(x3-8)(x+3)(x+4) %3D

A: Using Logarithmic Differentiation.

Q: Calculate the derivative and its application. (a) 2x3 – 4x2 +x – 33 -

A:

Q: Shows the derivative function of: 5x³(8 + 5x²)

A: topic - derivative

Q: Find the derivative for ()= 2z²+9 %3D 3-5z

A: Consider the function

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

A:

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: Fif FCx)=3x-xト4

A:

Q: What is the derivative of 2x^2

A: Y=2x2 apply differentiation with respect x

Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

A:

Q: 13x

A:

Q: Find the first and second derivative if y=4-2x-x-3

A: