Ceka that passes through the Find and sketch an exponential equation of the form y = points (0, 8) and (3,4). Also calculate its derivative and indefinite integral.

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&*x? + 1)"

A: Answer

Q: Differentiate y = /sin(x² + 3)cosx

A:

Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: 12. h(x) =log, [log, (1+x)]

A: Please see the answer in Step 2

Q: Give a discussion as to why differentiation and integration are inverse processes. You should…

A:

Q: 2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

A: To find the derivative of the given function. 2). Given function is fx=x2ex. Quotient rule of…

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

A:

Q: Find the most general anti-derivative or indefinite integral and check the answer by differentiation…

A:

Q: Find the equation of the line tangent to the graph of y = 4 ln(x) at a = 2. Enter exact values.…

A: detailed solution is given below

Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: 11. Use logarithmic differentiation to find the derivative of the function. y = xsinx

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: 5th derivative of y = log x^5 to the base 2

A:

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: y = log4((2x³ – x² + 7)(x² + 4)) %3D -

A: From the property of logarithmic, logab=logeblogea=lnblna So, the given function is:…

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

A:

Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]

A:

Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

A:

Q: (a) Use logarithmic differentiation to find the derivative of the function. y (In x)seca (b) Find an…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the derivative of the function using the chain rule. y = log10(7x)

A:

Q: Use

A: We use exponential shift theorem.

Q: a- y= (cosx) (use logarithm differential)

A: To find dy/dx

Q: Evaluate the derivative of y=(cosh'(4x))* . Give your answer in natural logarithmic form.

A:

Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),    (3,…

A: Given equation of curve y = ln(x2-3x+1)

Q: e3x _e-3x Y = e3x +e-3x]

A:

Q: Derermine The FirST derivative of : 千irsT OF F) = x³ .16 V5メ-2 こSioN Expa usiNG Logalith mic Ex…

A:

Q: 2. y=cot1-2x 3. y=log22x*

A:

Q: This is determined by the largest derivative, or the highest level of differentiation, present in a…

A: The highest level of differentiation present in a differential equation is known as "order" of the…

Q: Find the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: h(x)=193x+13 , at the point 1,649

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x²+1)6 tan² x y = X3

A: Explanation of the answer is as follows

Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

A:

Q: How do I find the derivative of this problem?

A:

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: Find the derivative OF the exponential funchion y = In ( 5- e **) Please simplify it Further.

A: Consider the provided equation, y=ln5-e4x Find the derivative of the equation. Apply the chain rule…

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3

A:

Q: How do you use implicit differentiation to solve:  tanxy=x+y   at point (0,0)

A: The given expression is,

Q: Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8)…

A:

Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: -1/7 17 dx =?

A:

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),      (3,…

A: To Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),…

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t).…

A: The model representing the given data is defined by the function Rt=0.25t2-t+29 gallons, where…

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: Find y"by implicit differentiation of x3 + y3 = 1.

A: x3+y3=1 ddxx3+y3=ddx(1) 3x2+3y2dydx=0 dydx=-x2y2

Q: 11. Use logarithmic differentiation to find the derivative of the function y = xsinx

A: Given function is : y=xsinx To find the derivative.

Q: find the equation of the tangent line to the graph of the function y = ln(x^2) at the point (3, 1).

A:

Q: -1/16 dx =

A: Integration