2 Answers

# The slope of the tangent to the curve y = 3×2 – 2x + 5 at…

Latest posts by Admin (see all)

**The slope of the tangent to the curve y = 3×2 – 2x + 5 ****at the point (1, 6) is…**

**A. ****1**

**B. ****4**

**C. ****5**

**D. ****6**

**QUICK ANSWER…**

**B**

**SOLUTION****… **** **

**The tangent of the curve at point (1, 6) is a straight line that cuts through that point. The slope of this straight line is what we are required to find.**

**Slope = dy/dx of the curve at point (1, 6)**

**The value of x at point (1, 6) = 1**

**Now substituting x = 1 into the differential, we have:**

**Slope = dy/dx = 6(1) – 2 = 6 – 2 = 4**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is correct.****C is incorrect.****D is not the correct answer.**

**QUICK TIPS…**

**You may please note the****se/this****:**

**Slope means the same thing as gradient or dy/dx, and can only be calculated on a straight line.**

**Use the questions and answers session to deal further on this topic…**

**You can also freely share this page with friends.**

**/**** ****culled from ****201****8 ****JAMB-UTME ****mathematics ****question**** 21 ****/**