# Thread: Need help with multiple calc problems.

1. ## Need help with multiple calc problems.

sorry about the format earlier, i ctrl pasted it ; again,

1. Find derivative of the functions.

y = 6x^5/2 / x

y = 9x^2 - 5x / 4x

h(t) = (t^5 – 2)(6t^2 – 2t – 2)

2. Find an equation of the tangent line to the graph of the function at the given point.

h(x) = (x^2 – 2)^2, (-1, 1)

2. Originally Posted by jjung411
sorry about the format earlier, i ctrl pasted it ; again,

1. Find derivative of the functions.

y = 6x^5/2 / x
y= 6x^{5/2- 1}= 6x^{3/2}

y = 9x^2 - 5x / 4x
y= (9/4)x- (5/4)

h(t) = (t^5 – 2)(6t^2 – 2t – 2)
Use the quotient rule: the derivative of f/g is $\displaystyle (f'g- fg')/g^2$

2. Find an equation of the tangent line to the graph of the function at the given point.

h(x) = (x^2 – 2)^2, (-1, 1)
First find the derivative of h at x= -1 by using the chain rule. That is the slope, m, of the tangent line. The equation of a line through $\displaystyle (x_0,y_0)$ with slope m is $\displaystyle y= m(x- x_0)+ y_0$