Differentiate y=2x/e^x

Q: Find the First Derivative: y=log10(5x+3/5x-4)

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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: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…

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Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

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Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

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Q: x+1

A: By using the formula you can solve the given problem as follows :

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

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Q: A right triangle has legs of 3 inches and 4 inches whose sides are changing. The short leg is…

A: dhdt=7 in/sec , dbdt = -10 in/sec

Q: Find the derivative of y =log2x

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Q: find derivative y=square root of (1+ x times e^-2x)

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Q: What is the rate of change of y = In x at x = 10?

A: Explanation: Given that,  y=lnx   Concept Used: To find the rate of change we will find the…

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: Log Activity CALL l.y=log4 (3x2 -5x) In 9x4 2.y= 3.y= Inx3 X-5

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Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

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Q: A rectangle has a length of 1 inches and a width of 12 inches whose sides are changing. The length…

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Q: A rectangle has a length of 11 inches and a width of 5 inches whose sides are changing. The length…

A: In the given rectangle  Width b = 5 inches Length l = 11 inches Length increasing rate dl/dt = 9…

Q: Differentiate  y = ln(2x + 1)

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Q: Differentiate  y = ln(4x2 - 2x + 9)

A: To differentiate  y=ln(4x2-2x+9) The given function is a composite function, Hence, let u=4x2-2x+9…

Q: A rectangle has a length of 4 inches and a width of 12 inches whose sides are changing. The length…

A: Let x and y be the length and width of the rectangle at any time t respectively. Now according to…

Q: The population of Glenbrook is 375,000and is increasing at the rate of 2.25% per year. Predict when…

A: To find: When the population is 1 million. Given: Initial population is 375000 and rate of…

Q: When a circular metal plate is heated in an oven, its radius increases at the rate of 0.02 cm/min.…

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Q: A right triangle has legs of 24 inches and 32 inches whose sides are changing. The short leg is…

A: Given, Measure of two legs of a right triangle: 24 inches, 32 inches. Let x be the short leg and y…

Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: to find:- dH/dt.

Q: If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is the…

A: Given dr/dt = 3

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: For a cube, length of all the sides will be same. So the volume of a cube is a³. Where 'a' is the…

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How fast is…

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Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

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Q: What is the derivative of: log x/(x+1)

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Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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

A: Tangent to a curve is a line which just touches the curve and in some sense is parallel to the…

Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: Find the nth order derivative of the natural logarithm function y=lnx.

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Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

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Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

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Q: Find the derivative of the natural logarithm y=lnx.

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Q: Calculate the derivative. y=3/log5x

A: Given function is

Q: The integral of any quotient whose numerator is the differential of the denominator is the…

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Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

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Q: A right triangle has legs of 21 inches and 28 inches whose sides are changing. The short leg is…

A: Length of the legs are 21 inches and 28 inches and the short leg is increasing by 10 in/sec and the…

Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg…

Q: Find the derivatives of x log x.log(logx)

A: We have to find the derivative of-  x logx.log(logx)

Q: what is the Derivative of Exponential Functions?

A:

Q: Describe the Derivative of the Natural Logarithm Function?

A: We have asked to describe  the derivative of the Natural Logarithm Function.

Q: differentiate y = ln(lntanx)

A: y=ln(lntanx) We know that, ddx(lnx)=1x