Using Leibnitz theorem, the nth derivative of xy, is

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Differentiate the functions. Find the derivative of y with respect to x. Use the given relation…

A: Given : Function y = x3 + 12   To find : Derivative of the given function dydx?

Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

A:

Q: 1. Find the derivative of f(x) = tan³(sinx) + %3D

A: The given function isf(x)=tan3(sinx)+x3+3x4

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent

A: Part a,Given,           y=x2+1x-12

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

Q: of y = %3D .) Use logarithmic differentiation to find the derivative with respect to x

A: Follow the procedure given below.

Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: derivative

A:

Q: Compute for the derivative of the function using logarithmic differentiation. r(θ) = (cscθ)ℼ^θ

A:

Q: Find the derivative of function.

A:

Q: Find the derivative. g(x) = cosh(In(x)) g'(x) = ||

A: To determine the derivative of the function.

Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

A:

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: To find the derivative of the given function.

Q: Find the derivative of y using implicit differentiation ycos(x) = x2 + y2

A:

Q: Using limit definition of derivative, prove d/dx e^x=e^x

A: We using limit definition

Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

A:

Q: Find the derivative of ,In sin-1) y = e %3D

A:

Q: find derivative of the U function 1-x f(x) = sec-1. 1+ x ーオ

A: Explanation of the answer is as follows

Q: compute the derivative g(x) = tan−1(ln x)

A:

Q: Find the derivative of y with respect to x using implicit differentiation in the equation *'y =…

A:

Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

A:

Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: (a) h(x) = tan(r'sinx

A:

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

A:

Q: Find the derivative of f(x) = tan -(e*) %3D

A: Derivatives of some functions are given below.

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Find the derivative of g(x) = e-" cos(x²)

A:

Q: Find the derivative of x^2-xy^2=e^y using the implicit differentiation.

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (In x)cos 2x

A: To differentiate

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

A:

Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: Find sixth order derivative of the function f(x) = (x – 5)7.cos(5x) by using %3D Leibnitz theorem.

A: If y=uv where, u and v are functions of x then un and vn denote the nth derivative of u and v with…

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: Find the derivative of x + y = 10 using implicit differentiation. %3D

A: We have to find the derivative of x2+y2=10 using implicit differentiation.

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: Find the derivative of the function using the definition of derivative. g(t) = Vt %3D

A: Here, the given function is g(t)=5t. We need to find the derivative of the function g(t), using the…

Q: Find the derivative of the function. f(x) = ln(4x² – 3x) - f'(x) = Preview %3D

A: Applying chain rule of differentiation

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: