Using appropriate rules, find the derivative of y = x*e +sin(3x² + 8x)

Q: Find the derivative. Simplify where possible. y  = x Sinh-1 (x /3)  - √ (9+x2)

A:

Q: By using the definition of derivative find the derivative of f(x)=x^2

A:

Q: Using the Chain Rule, compute the first derivative of sin T-x.

A: We have given a composite function and we have to find derivative of function by using chain rule of…

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

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

Q: Sketch the x^2 And the derivative And integration

A:

Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

A:

Q: Using four-step rule, find the derivative of the following functions 1.y = (3 – 5x)*

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

A: Solution:- The given function is  y=|sinx| the graph of the above function y=|sinx| is given below.…

Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

A:

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: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: Use the Chain Rule to find the derivative. y = sin2 x

A: Given the function fgx. The derivative of the expression using chain rule is f'gxg'x. The derivative…

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Q3:- Use the definition of derivative to find the tangent and normal equations of f(x) = x-3

A:

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

A:

Q: Using the definition of derivative, find the derivative of f(x)= /3-x

A:

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: Find the derivative of ?(?) = √? sin ? by using the Product Rule. Simplify your answer, if possible.…

A: Derivative of function

Q: use the Chain Rule to find the derivative. y = sin2 x

A: To differentiate: y=sin2x Solution: y=sin2xDifferentiating both sides w.r.t x we…

Q: Using appropriate rules, find the derivative of y = x?e3x + sin(3x2 + 6x)

A: Given that  y=x^2e^(3x)+sin(3x^2+6x) To find the derivative of y

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

Q: Use the definition of derivative (do NOT use the short cut method) to find f'(x) given that f(x) =…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 6x° sec(x) y'…

A: y=6x5.secxdifferentiate w.r.t.xApply the Product Rule:  f·g'=f…

Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = sin x/x4

A: ddxxn=n xn-1 Quotient rule f(x)g(x)'=f'(x)g(x)-g'(x)f(x)g(x)2

Q: y=e* sin(x)

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x4/cos x

A: Given function: y=x4cosx Recall Product Rule ddxmn=mddxn+nddxm…

Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: Find the derivative of the function by using thẻ Product Rule. Simplify your answer. f(x) = (Vx -…

A:

Q: Using appropriate rules, find the derivative of y-r'e + sin(3z+ 5z) 2 3z

A: on solving this we get the

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Using the chain rule, derive the formula for the derivative of the inverse sine function.

A:

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

A:

Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

A:

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

A: detailed solution is given below

Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Use the Quotient Rule to find the derivative of the function.…

A: Given:          g(x)=sinxx2

Q: Find the derivative of the following function using the LONG METHOD (limits). Provide your…

A:

Q: Calculate the derivative of y = cos (7x³). (Use symbolic notation and fractions where needed.)

A:

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

A:

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

A:

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

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

A: Applying chain rule of differentiation

Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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: