MathsGee Answers is Zero-Rated (You do not need data to access) on: Telkom | Dimension Data | Rain | MWEB
First time here? Checkout the FAQs!
x
Institutions: Global | Authors |Cars | Courseware |Ekurhuleni Libraries | Joburg Libraries | Startups | Tools |Tshwane Libraries | Math Worksheets | Visual Statistics

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

1 like 0 dislike
36 views
For the function $f(x) = 2x^2 −5x$, determine the gradient of the tangent to the curve at the point $x = 6$.
in Mathematics by Diamond (62,244 points) | 36 views

1 Answer

1 like 0 dislike
By differentiation, gradient of curve = df/dx = 2(2x) - 5 = 4x - 5

At the point x = 6, gradient of curve = 4x - 5 = 4(6) - 5 = 19

But at a given point on a curve, the gradient of the curve is equal to the gradient of the tangent to the curve.

Therefore the gradient of the tangent to the curve at x = 6 is equal to the gradient of the curve at that point = 19.
by Diamond (39,246 points)

Welcome to MathsGee Answers, a free online study network where students can ask, answer, and explore 24/7 for improved outcomes.



MathsGee Supporting City of Joburg

Enter your email address:

Registered Members Online
MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Interactive Courseware

ZeroEd Search Engine

Article Rewriter Tool

Word Counter Tool

Other Tools

STEM Gender Equality | ZOOM | Slack | eBook