Calculate 00 exp(-)dx. Note that exp() here is the exponential fun

Q: 3.) y = log2 – 6·x³

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

Q: Find the effective rate of interest. For 6% compounded continuously

A:

Q: Find the effective rate of interest.; For 4% compounded continuously

A: 4% compounded continuously.

Q: Find the effective rate of interest.For 5% compounded continuously

A: Here we have to find the effective rate of interest. For 5% compounded continuously.  r = 5%…

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

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Q: y = ln 1-x² 1+x²

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Q: Without using a graphing calculator, how can I show the function 1-ln(y )= z in a graph and its…

A: Without using a graphing calculator,  Show the function zx,y=1-lny in the graph and its traces.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the derivative of the natural logarithm function ln x? How does the domain of the derivative…

A: Given: fx=ln x To find: (a) The derivative of f(x)  (b) Compare the domain of the derivative with…

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find the indicated derivative and simplify. [6x log x°] dx [6x log x ]= 125 dx (Type an exact…

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Q: find derivative d/dx ln(3x/(2x+7)^1/2)

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Q: Find the First Derivative:  v=csc 7x

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Q: Find the derivative of the following function. flx) = log.8x

A:

Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: Find the derivative of y =log2x

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Q: Find the derivative of the given log(cot(1-x2))

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Q: what is the compound interest if $43000 is invested for 5 years at 6% compounded continuously?

A: Given,           The compound interest if $43000 is invested for 5 years at 6% compounded…

Q: )=1/x. Using this, compute the

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Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

Q: Differentiate the following function.   y = ln(ex2/x)

A:

Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: What are the domain and range of ln x?

A: Given: y=lnx we know that in lnx, x>0 so, domain of given function is x>0

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: Find the derivative of n^(ln⁡(cosu)). Where n=822

A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.

Q: find the present value of an investment worth $15,000 in 15 years with 5% interest compounded…

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Q: 2. y = [log(arccotx³)]coshx. Find dy/dx

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Q: what is the compound interest if $ 43,000 is invested for 15 years at 8% compounded continuously

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Q: y = log,(4x - 8x)

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Q: Calculate the derivative of the following function. y=2 log5 (x -3) 2 log5 (x-3) = (²-3) =] dx

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Q: What is the ln of 1/time if the time is 359.4 seconds?

A: SOLUTION:-

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

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Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: Find the derivative of the logarithmic function. y = In Isec x + tan x|

A: We have to find the derivative

Q: Find the amount after 3 years if $1000 is invested at an interest rate of 12% per year, compounded…

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Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x…

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Q: Find the first derivative y= ln(3x)

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Q: In the scenario of the derivative of a logarithmic function, determine the slope of the tangent line…

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Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: what is the Derivative of Exponential Functions?

A:

Q: Find an equation of the tangent line to the graph of (log æ)cosh(a-10) , x >1 at the point where x =…

A: Given equation is  y=log xcosh (x-10), x>1 at x=10

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

Q: What is the derivative of : ln cos 3x

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: