HC 3.7 Derivatives of Logs and Exponentials

Front

Find the derivative: y=log₉x

Back

y′=1/((ln9)x)

Front

Find the derivative: y=(2^3x+4)

Back

3(ln2)(2^3x+4)

Front

Find the derivative f(x) = xe^x

Back

f'(x) = xe^x + e^x

Front

Find the derivative: y=log₄(6x+5)

Back

6/((ln4)(6x+5))

Front

Find the derivative:
y=4e^x²

Back

y'=8xe^x²

Front

Find the derivative: y=e^5x+ln(x)

Back

(5+1/x) e^5x+ln(x)

Front

Find the derivative:
y = 3ln(x²-3)

Back

6x/(x²-3)

Front

Find the derivative: y=ln(3x²-5x)

Back

(6x-5)/(3x²-5)

Front

Back

(3x)/(2(3x²+5))

Front

Find the derivative:
y=5x²e^3x

Back

y'=15x²e^3x + 10xe^3x