Find the derivative of y = ÷+; x2

Q: Find the derivative of the function  y = ln (8x3-x2)

A:

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the derivative of y = xV3x

A:

Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: First we solve the given expression for y

Q: Find the derivative of function. y = ln(x4 + 5x2)3/2

A: This question comes under the concept of Derivation. This question can be solved using the chain…

Q: Find the second derivative of the function.         f(x) = csc x

A: Differentiating with respect to x, we get

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Find the derivative of y=3x^x

A: Given,

Q: find the derivative of y = x3/x

A: Given y=x3x

Q: Find the derivative of the function y = x36. y'

A: Derivative of function

Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

A:

Q: Find the derivative of the function f(x) = 4x

A: The given function is f(x) = 4x Formula used ddx(ax)=axln(a)

Q: Find the derivative of the function. f(x) = 8x

A:

Q: Find the derivative of y=x(6^(−2x))

A: Explanation of the answer is as follows

Q: Find the derivative of y = x*. .5"

A: Given that: y=x5x

Q: Find the derivative of f(x) = 12e* + x°.

A:

Q: Find the derivative of f(x)=x^2

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function f(x) = 53x

A: Here given function fx=53x

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of y = x2".

A: Find the derivative

Q: Find the derivative of the function. 4 y=デ

A:

Q: determine the second derivative of y=x^2e^x-xe^y^2

A:

Q: find the derivative of (2 + j)

A:

Q: Find the derivative of the function Зх + у Зx + y = Зх

A: Given function,

Q: Find the derivative of the function. y = In(4x)

A:

Q: Find the derivative of y = 5xe - 5e*

A: Given:

Q: Find the derivative of f(x

A:

Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

A:

Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given…

Q: Find the derivative of * 2 T (x) = Va + 9Vx?

A: Given: T(x)=x+9x73-2x25

Q: Find the derivative of the function y = (3x + 5)x

A: ddxln x=1x Product rule: (uv)'=u'v+uv'

Q: Find the second derivative of y= x 2/ 3 + x2

A:

Q: 5x +1 y = 2x

A: Our Aim is to find  the derivative of y=5x+12x-(i)

Q: Find the derivative of y = ( 1+x2 )x

A: using logarithmic differentiation and product rule

Q: Calculate the derivative of the function y=√x5+√5x.

A:

Q: Find the second derivative of √x + √y = 25

A: To find the second derivative... √x + √y = 25.

Q: Calculate the second and the third derivative of y = 3x y"

A:

Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Find the derivative of the function f (x) = Vx /x – 6.

A:

Q: Determine the derivative of y =x 이5

A: Here we have to determine the derivative of  y=x65 differentiate with respect to x dydx=ddxx65

Q: Find the second derivative of the function. x* +8 y = 2

A:

Q: Find the derivative of the function y=4√x3.

A: Given expression:y=4x3 Simplify the above expression, y=4x312y=4x32 Now, differentiate the above…

Q: Find the derivative of f(x)

A:

Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of…

Q: Find the second derivative of y=x^-2 when x is 2

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: