know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule for the exponential function f(x)=e^x and the chain rule for the natural log f(x)=In(x).

Q: Graph the following function using information from the first and second derivatives. Label all key…

A: Given f(x)=3e-xx+1 Graph this function using the information from the first and second derivative

Q: How do we take the derivative of (log(4x+3))2x?, why is it wrong to do :

A: we have given function  to find the derivative.

Q: Determine the y-intercept of the exponential function h(x)=e^x

A:

Q: A function (f) is given by the formula f(x) = A*e^kx for constants (A) and (k). We also know that…

A: Function is of the form f(x)=Aekx and f(3)=12 and f(4)=7.

Q: Find the exponential function f(x)=Ca^x whose graph goes through the points (0,4) and (2,16) a=…

A:

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

A: we have to find the derivative

Q: Jsing only exponential (e*), cubic (x³), and the cosine (cos x) functions, create anot unction for…

A: To find: A function using the given functions for which the derivative computation requires using…

Q: Calculate f(10^-2) for the function f(x) = e^x - x -1. The answer should have five significant…

A: The given function,

Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: Let m1 be the slope of the slope Y = 3ª at the point x = let m2 be the slope of the function y =…

A: topic - relation between slopes of curve

Q: ( h(z) = a + z2 Assume that a and b are constants.

A: Chain rule:…