Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

A:

Q: Find the derivative. Simplify where possible. y  = Sinh-1(tan x)

A:

Q: fla)=-sinx (): In, Cosx

A:

Q: Find the derivative of the function. f (x) = cube root of ( 1+ tant )

A:

Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

A:

Q: y3D(i+sinx)(I-sinl)!

A:

Q: Find the derivative of the function. y = sin (7) + √sin (6 x) y'(x) =

A:

Q: (x²+1)* V1-x y = In

A: Use the chan rule of derivative then simplify the result.

Q: Compute the derivative. (x) = ex sinx

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

Q: Find the points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: The second derivative of function: Inesina will be Select one: O sina O -sinz

A:

Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Find the derivative using logarithmic differentiation if sin^-1 (2x). y = (tan x) where 0 < x < 1/2…

A:

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

A:

Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: .Find the derivative of the function y = cosh*x- sinh“ x

A: As per guidelines we can solve only one question at a time, if you need more answer kindly repost…

Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: ve of √sin(x)=y

A:

Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: calculate the derivative y = tanh(ex )

A:

Q: %3D

A: Solving

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

A:

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find an equation of the tangent to the curve x+ Vy = 3 at point (4, 1). [Hint: Use implicit…

A:

Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: q? sin-! メ

A:

Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Find the derivative of y with respect to the appropiate variable show all work Y= tan^-1 (ln x)

A: Given function is y=tan-1lnx. Given function can be written as tany=lnx. Differentiating the above…

Q: Find the derivative of y = arctan(x) by using implicit differentiation on x = tan(y).

A: Consider the provided function y=arctan(x).

Q: cos X sin x + cosX

A:

Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

A:

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Find the derivative of the following functions and simply it whenever possible. 8. y = ln…

A: First simplify the given function then use chain rule of derivative.

Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

A:

Q: 7. y cot (sin 0) %3D

A: on doing differentiation we get

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: Calculate the derivative. y = In (tanh (5x)) (Express numbers in exact form. Use symbolic notation…

A:

Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: Find the derivative car (x+y) = yrinx

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: y = cos /sin(tan Tx) %3D

A:

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x

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: