(x) = ,2x+1

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 second derivative of the function. f(x) = 5x + 26x F"(x) =

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. -5x f(x) = (5 + 4x)e" f"(x) =

A:

Q: solve the first and second derivative of Y=x2e-x

A:

Q: Find the derivative of the function f(x) = ln(3x2 + 2x)

A:

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

A: Differentiating with respect to x, we get

Q: Find second derivative of f(x) = 7x-15

A:

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 first derivative (x^5+6x^3+10x)/√x

A: To find: The first derivative of . Formula used: Quotient rule of derivative: Power rule of…

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

A: consider the given function:

Q: Find the derivative of the function. X-1

A:

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: Use the implicit differentation to find the second derivative of x2y+y2x=-2

A: We have given  x2y+y2x=-2 We have to find second derivative. Differentiate on both side of the given…

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: find the first derivative of the function y=sinsin3x

A: Given,           y=sinsin3xTo find: The first derivative of the function.

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

Q: Find the second derivative of f(x) = x+2 X- 2

A:

Q: Find the derivative: y=ln(x200e4ln(x^2)-4ln(x)+3)

A:

Q: Find the derivative of function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the first, second and third derivative of f(x) = 5x" – 2x* + 3x² + Vx.

A: Given,

Q: 1-x3+2Vx f (x) =

A:

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

A:

Q: Find the second derivative of f(x)=x4.

A:

Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

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

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

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

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

A:

Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: Find the second derivative of f(x)=x^-2 when x=4

A:

Q: Find the second derivative of 2x^2 ln (1/x^2)

A:

Q: Find the 1400th derivative of f(x) = xe-X.

A: Here we find derivatives of function.

Q: 3 y = х-5

A:

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

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

A:

Q: Find the second derivative y" if y = elnx³

A: Given,            y=elnx3

Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: f(x) = 7xe

A: We can find the answer as below.

Q: Find the 2nd derivative of f(x) = √2x-x²

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:

Q: . Find the second derivative of the function y=xInx

A: Note - Since you have posted multiple questions, I am solving the first one for you as per…

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: