Convert the equation f(t)=327(0.5)^t to the form f(t)=ae^kt

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Compute the derivative.    f'(3),   f(x) = log5 x

A: Given: fx=log5 x  ……1   To find: f'3

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: find the derivative using logarithm of y= (x+2)^2

A: Take ln on both sides Then differentiate both sides with respect to x

Q: Find the derivative of Log(2z³). 2/z 2/2? 1/2? 3/z

A: Answer

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Find the derivative. y = 7x² – sinhx %3D

A:

Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

A:

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

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Q: Vt- 4 V3t - 4 y =

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: 4 1 Y(s) = 5s2

A:

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" :

A:

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" =

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Q: y = sec (2 – 3x)

A:

Q: ) 1 = x* + 5y³

A:

Q: Calculate the derivative. 1 y = log 5x y' =0

A:

Q: Compute the derivative of the fo f(x)= 2x+3x ex

A:

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Find dy/dx by implicit differentiation. x4 + yA 5

A:

Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

A:

Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: Find the derivative of the function y = x² cosh²3x

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: 9. y = 3x – Vx

A:

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: What is the value of the second derivative y" at the point (4,3)

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Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

A:

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: What is the second derivative of y = sec “(3 x) ?

A: For the question 1, none of the options match. If the question had asked for first derivative of y…

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: 4. y=ln(4x' +5)

A:

Q: Find the 1st derivative of y= Arcsin x -v -V1-x²

A: To find the first derivative of y = sin-1x - 1-x2 sin y =x - 1-x2

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

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

Q: Find y'' by implicit differentiation 4x3+3y3=6

A:

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 1 y" =

A: We will find the y" of the given function using the implicit differentiation.Below find the solution…

Q: Find the derivative of the function. y = x² cosh²3x

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: b) y = cosh(2Vx+1)

A:

Q: 1= x* + 5y3

A: The given equation is 1=x4+5y3

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: calculate the derivative y = (sinh−1(x2))3

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…