WorksheetsDifferentiation: Tangents and Normals
Total questions: 14
Worksheet time: 25mins
The equation of the straight line that goes through the point (3, 4) with a gradient of 2 is given as y=ax+b . Find the value of a.
(a)
The equation of the straight line that goes through the point (3, 4) with a gradient of 2 is given as y=ax+b . Find the value of b.
(a)
Given the function , f(x)=x3+2x2−x+7 , what is the gradient when x = -2 ?
(a)
Consider the function f(x)=x3+2x2−x+7 . The tangent to this curve at x=−2 is given by y=ax+b . Find the value of a.
(a)
Consider the function f(x)=x3+2x2−x+7 . The tangent to this curve at x=−2 is given by y=ax+b . Find the value of b.
(a)
Consider the function y=52x2+x21 . The tangent to this curve at x=2 is given by y=ax+b . Find the value of a.
(a)
Consider the function y=52x2+x21 . The tangent to this curve at x=2 is given by y=ax+b . Find the value of b.
(a)
Consider the function f(x)=x3+3x2−2x+4 , the normal to this curve at x=−2 is given by y=ax+b . Find the value of a.
(a)
Consider the function f(x)=x3+3x2−2x+4 , the normal to this curve at x=−2 is given by y=ax+b . Find the value of b.
(a)
What is the gradient of the function at x=−3 ?
(a)
At x=−1 the function is...
Increasing
Decreasing
At x=4 the function is...
Increasing
Decreasing
Consider the function f(x)=1+x4 , the normal to this curve at x=−2 is given by y=ax+b . Find the value of b.
(a)
Consider the function f(x)=1+x4 , the normal to this curve at x=−2 is given by y=ax+b . Find the value of a.
(a)
