Derivatives-Prod/Q/Chain

Front

Find the second derivative of the function:
f (x) =  2x - 5x⁶

Back

f ''(x) = -150x⁴

Front

Find the derivative of y = 2x² (3x - 4)

Back

18x² - 16x

Front

Find the derivative f(x) = xe^x

Back

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

Front

Find the derivative of g(x)=(3x-2)/(x²+2)

Back

(-3x²+4x +6)/(x²+2)²

Front

The position of an object is given as a function of time by y = 3t² + 5t³ - 2t. What is the acceleration of the object at time t = 2 s?

Back

66 m/s/s

Front

The velocity of an object is given as v = 2t + 3t³. What is the acceleration of the object at t = 2 s?

Back

38 m/s/s

Front

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

Back

f'(x) = 24x^-4 + 5 - e^x

Front

Find the derivative
f(t) = (t² + 2t)⁵

Back

f'(t) = 5(t² + 2t)⁴(2t + 2)

Front

Find the second derivative of
f(x) = x² + e^x  - cosx

Back

f"(x) = 2 + e^x + cosx

Front

Find the second derivative of
f(x) = x² + e^x  - cosx

Back

f"(x) = 2 + e^x + cosx