6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Find the derivative of the given function.

$f(x)=2^x-5^x$

Find the derivative of the given function.

$g(x)=x^4+4x+4^x$

Find the derivative of the given function.

$y=(4x-3x^2+9)\cdot2^{5x}$

Find the derivative of the given function.

$h\left(x\right)=4\left(\sqrt{x}+3x\right)^{\frac54}$

15–48. Derivatives Find the derivative of the following functions.

P = 40/1+2^-t

15–48. Derivatives Find the derivative of the following functions.

y = 10^x(In 10^x-1)

15–48. Derivatives Find the derivative of the following functions.

f(x) = 2^x/2^x+1

15–48. Derivatives Find the derivative of the following functions.

s(t) = cos 2^t