Suppose y = x^{3} + 24 x^{2} + 5 x + 65.
Find \dfrac{d y}{d x}.
Find \dfrac{d^{2} y}{d x^{2}}.
Find the value of x at which \dfrac{d^{2} y}{d x^{2}} = 0.
Suppose y = 5 x^{8}. Find:
\dfrac{d y}{d x}
\dfrac{d^{2} y}{d x^{2}}
\dfrac{d^{3} y}{d x^{3}}
\dfrac{d^{4} y}{d x^{4}}
\dfrac{d^{5} y}{d x^{5}}
Suppose y = \dfrac{2}{x}. Find:
\dfrac{d y}{d x}
\dfrac{d^{2} y}{d x^{2}}
\dfrac{d^{3} y}{d x^{3}}
\dfrac{d^{4} y}{d x^{4}}
Suppose y = \dfrac{2}{x^{5}}. Find:
\dfrac{d y}{d x}
\dfrac{d^{2} y}{d x^{2}}
\dfrac{d^{3} y}{d x^{3}}
Suppose y = \left( 3 x + 7\right)^{7}. Find:
\dfrac{d y}{d x}
\dfrac{d^{2} y}{d x^{2}}
\dfrac{d^{3} y}{d x^{3}}
Consider the function y = - 2 x^{4} + 4 x^{3} - 7 x^{2} + 8 x - 9. Find:
\dfrac{d y}{d x}
The value of \dfrac{d y}{d x} when x = 3
\dfrac{d^{2} y}{d x^{2}}
The value of \dfrac{d^{2} y}{d x^{2}} when x = 4
\dfrac{d^{3} y}{d x^{3}}
The value of \dfrac{d^{3} y}{d x^{3}} when x = 6
Find the second derivative of the following functions:
Find the second derivative of the following functions:
For the function y = \left( 3 \cos x - 5\right)^{4}, find:
\dfrac{d y}{d x}
\dfrac{d^{2} y}{d x^{2}}