Finding a Derivative of an ExponentialFunction In Exercises 57–72, find the derivativeof the exponential function. \text { 57. } y=e^{5 x}

Q: In Exercises 93 and 94, find the derivative using the definition. 93. ƒ(t) = 1/( 2t + 1 ) 94. g(x) =…

A: To determine the second derivative of y at the point (8, 8).

Q: function f(x)=log_(5)x+4 on the axes bel e and any two points with integer coordinates. .Only hand…

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Q: Slx) = 3(2}** -4 (0, 8) (1, 2) 10 (2, –1) (3, –2.5)

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Q: e^x-1=pie^1-x solve equation

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Q: An investment of $1000 increases in value exponentially. After 5 years, its value is $2500. (a) Find…

A: Given data is : At t=0, Investment =$1000 After 5 years its value is $2500, therefore At t=5 year,…

Q: Approximating Function Values In Exercises 43-46, use differentials to approximate the value of the…

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Q: log_b x=5 log_b y=10 solve log_b(y^2/x)

A: We will use properties of log logbpq=qlogbplogbp- logbq=logbpq

Q: 7 + Vx + x dx

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