gradient graphs

[steel spruce]

i dont understand why do u take gradient of tangent. the gradient of the normal is -1/2 and the normal is at p so -1/2 = first derivative Q-14b

[floral bloom]

hi

i helkp

NVM

wtf is this

[steel spruce]

bro replied so quick

[steel spruce]

dont get scared its actually easy once u do it lol idkk bout yr 13 tho

[floral bloom]

bruhhhh

[steel spruce]

hmm i kind of see where i went wrong bcuz if i put in -1/2 i would get the x cordinate of any parallel line but how do i even identify that in a question without sketching it out

true but b can be tricky if u just use the gradient of the parallel line

[junior mica]

if you sub in the x coord of P into f’(x) you would get the gradient of the tangent at P, not the normal so you make f’(x) = 2 and solve for x

[steel spruce]

Wdym I don't get it

[steel spruce]

Tbh it should be tangent of P bcuz u will get one correct x value I think so cuz if u use normal to find x coordinate of P it will be wrong cuz that x coordinate can be of any parallel line bcuz the gradients r the same

[junior mica]

Dy/dx allows you to find the gradient of the tangent to any point on the curve