Find the gradient of a curve at a point
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.6 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
At what x is the gradient of y = x² + 2x − 6 equal to 0?
x =
Question 2
Find the gradient of y = x² + 4/x at x = 2.
Answer
Question 3
Find the gradient of y = 3x³ + 4x² + 9x − 1 at x = −3.
Answer
Question 4
At what x is the gradient of y = x² − 2x − 1 equal to −2?
x =
Question 5
Find the gradient of y = x² − 16/x at x = −2.
Answer
Question 6
Find the gradient of y = −x³ + 3x² + 9x + 7 at x = 2.
Answer
Question 7
At what x is the gradient of y = x² + x − 7 equal to 1?
x =
Question 8
Find the gradient of y = x² + 8/x at x = 2.
Answer
Question 9
Find the gradient of y = 2x³ + 5x² + 6x + 8 at x = 0.
Answer
Question 10
At what x is the gradient of y = x² − 3x − 2 equal to −5?
x =
Question 11
Find the gradient of y = x² + 27/x at x = 3.
Answer
Question 12
Find the gradient of y = 3x³ + 2x² − 6x − 4 at x = −3.
Answer
Question 13
At what x is the gradient of y = x² + 2x + 7 equal to 2?
x =
Question 14
Find the gradient of y = x² + 12/x at x = −2.
Answer
Question 15
Find the gradient of y = −2x³ − 5x² − 6x + 5 at x = 0.
Answer
Question 16
At what x is the gradient of y = x² + 5x − 1 equal to 13?
x =
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