What is the derivative of 6x/((x^3)+3)^2? I think I need to factor out an ((x^3)+3) from the numerator but I'm not sure how.

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: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: What is the derivative of 4^x?

A:

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: How is this derivative found?

A: Given expression

Q: Find anti derivative of    f(x)= (2x2+1)(3x-2)

A:

Q: Find the derivative of: −6√x −3/x^4  Type your answer without fractional or negative exponents.

A:

Q: 5 Find the derivative of f (x) = (9x4 -

A: Consider the given: fx=9x4−7x5Find the derivative:f'x=ddx9x4−7x5

Q: Find the derivative of   1/x^3 = 3* 1/square root of x

A:

Q: Evaluate the derivative of 3x-+yx=9

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: Find the derivative of y= 4tan5α

A:

Q: What is The Derivative Of (5/✓x)+100/x

A: To find the derivate of (5/✓x)+100/x

Q: Find derivative of  23x and the 3x  is raised to the power of 2 also

A:

Q: Find second derivative of f(x) = (4/x) +6x-5

A: We have to find second derivative of  f(x) = (4/x) + 6x - 5 Then ,  First derivative of f(x) is…

Q: what is he first derivative of f(x)=(5x^4-6x)  1/3

A: follow next step

Q: Find the derivative of sech(2x1/9)

A:

Q: What is the derivative of * 3lnr?

A: Given that y=3ln x find the derivative

Q: 4 6. ν- x3

A:

Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

A:

Q: Find the derivative Of U-5

A: Derivative of integration

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 fourth derivative of x3 + 2x2 - lnx.

A: Given :- f(x) = x3 + 2x2 - ln(x)  To find:- Fourth derivative of f(x)

Q: Answer fast. Find the 5th derivative of 3x^5 - 3x^3 + (1 /x^2).

A: We differentiating with respect to x continuously 5 times to get the required 5th derivative.

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

A:

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives

Q: What is the derivative of 3x+5?

A:

Q: find the first derivative of (x^5-6x 3+10x/x Short answer Srat

A: Use the quotient rule of derivative to differentiate the function.

Q: second

A:

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

A: Using Logarithmic Differentiation.

Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

A:

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: What is the derivative of square root 2t?

A:

Q: Answer fast. Find the 5th derivative of 3x^5 - Зx^3 + (1 /x^2).

A:

Q: Find the derivative of 4x2 +6y3 by filling the blanks.....

A: *to find:- derivative.

Q: Find 3rd derivative if ƒ'(x) = x³.

A:

Q: Fif FCx)=3x-xト4

A:

Q: Find derivative of F(x)= 2 square root 2x+3

A:

Q: us to find the derivative of x) = Vt3 + 27dt -3

A:

Q: What is the derivative of f(x)= 4x^3 + 8x

A:

Q: What is the derivative of 2x^2

A: Y=2x2 apply differentiation with respect x

Q: Using appropriate rule, find the 9z+3. derivative of y= 345z+9

A:

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following

Q: Use the chain rule to find the derivative of 6/9x + 10x3 Type your answer without fractional or…

A:

Q: 13x

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: