Find an equation of the tangent line to the curve at the given point. y = 3x3 - x2 + 2, (1, 4)

y = 7x - 3

Note the gradient of the tangent is the derivative of y at x = 1

Differentiate using the power rule

(a) = na

y = 3x³ - x² + 2

= 9x² - 2x

x = 1 : = 9 - 2 = 7 ← gradient of tangent

equation in point- slope form, using m = 7 and (a, b) = (1, 4)

y - 4 = 7(x - 1) ← point-slope form

y - 4 = 7x - 7

y = 7x - 3 ← in slope-intercept form

answer: what are the answer choices?

step-by-step explanation:

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)