Estimate Derivative

random or slider

x

new question

What is the value of

′

f

(x)?

False

The tangent to the graph of

f(x)

at

x

is extended one unit to the right to form a right-angled triangle

T

whose hypotenuse has the slope

f'(x)

. Therefore the tangent function of the angle of

T

at

(x,f'(x))

is

f'(x)

and can be read off the scale to the right of

T

. Read the first two digits from the brown scale and the third digit from the pink Vernier scale, where a pink mark is aligned with a brown mark.