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maths911
 2 years ago
A curve has a gradient function px^24x where p is a constant. The tangent to the curve at the point (1,3) is parallel to the straight line y+x5=0 ?
Can anyone explain gradient function and what is tangent to the point.?? Please explain the concept. I dont understand it.
maths911
 2 years ago
A curve has a gradient function px^24x where p is a constant. The tangent to the curve at the point (1,3) is parallel to the straight line y+x5=0 ? Can anyone explain gradient function and what is tangent to the point.?? Please explain the concept. I dont understand it.

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sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2a gradient tells the slope of a line. the gradient function of a curve allows you to know the slope of a tangent at any given point. a tangent is a line that just touches a curve at a point :)

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2umm the gradient function \(\ f'(x)=px^24x \) according to the question

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2you might want to check your solution again :/ seeing as you placed f(x) to be the gradient function and f'(x) to be the second derivative...

maths911
 2 years ago
Best ResponseYou've already chosen the best response.1So If it is gradient function?It already refer to the graph?? Still didnt get it?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2unless i'm wrong and mistaking, you might want to correct me then :/ idk

maths911
 2 years ago
Best ResponseYou've already chosen the best response.1@sasogeek U r right. because the answer is p=3

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2how did you solve it maths911? just being curious

maths911
 2 years ago
Best ResponseYou've already chosen the best response.1I dont know how. I got the answer but i dont know how to get it??

maths911
 2 years ago
Best ResponseYou've already chosen the best response.1That is why im asking .

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2ok i'll try to actually solve it and post the answer, i just know there probably is something wrong with the solution above but i may be wrong. lemme try my hands on it and see what i get :) brb

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.2well at (1,3) the x=1 and y=3. we found the gradient of the tangent to be 1 and since it is a tangent to the curve with gradient function px^24x, px^24x should be equal to 1 where x=1 hence p(1)^24(1)=1 p4=1 p=3

maths911
 2 years ago
Best ResponseYou've already chosen the best response.1@sasogeek thanks! I get it. :]
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