Find f ′(x) for f of x equals the integral from x cubed to 2 of the sine of t raised to the 4th power, dt.

In this question we have to find the derivative of F(x) which is

To find the derivative, our first step is to change the limits of the integral and on doing so , we have to put a minus sign , that is

Now we use fundamental law of calculus by substituting x^3 for t and we have to use chainrule too, that is

So the correct option is the last option .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

answer: idk

step-by-step explanation: