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
Find the gradient of y = x³ + x² − 7x + 6 at x = −3.
Answer
Question 2
Find the gradient of y = x² − 8/x at x = −2.
Answer
Question 3
At what x is the gradient of y = x² + 6x equal to 14?
x =
Question 4
Find the gradient of y = x³ + 2x² − x + 4 at x = 1.
Answer
Question 5
Find the gradient of y = x² − 3/x at x = −1.
Answer
Question 6
At what x is the gradient of y = x² + 5x + 3 equal to 3?
x =
Question 7
Find the gradient of y = −3x³ + 3x² − 8x + 1 at x = 1.
Answer
Question 8
Find the gradient of y = x² + 3/x at x = 1.
Answer
Question 9
At what x is the gradient of y = x² + 6x + 9 equal to −2?
x =
Question 10
Find the gradient of y = −x³ − x² + 9x − 6 at x = 3.
Answer
Question 11
Find the gradient of y = x² + 12/x at x = 2.
Answer
Question 12
At what x is the gradient of y = x² + 6x + 6 equal to 8?
x =
Question 13
Find the gradient of y = 3x³ + 4x² + 7x − 2 at x = −2.
Answer
Question 14
Find the gradient of y = x² − 36/x at x = 3.
Answer
Question 15
At what x is the gradient of y = x² + 6x equal to 16?
x =
Question 16
Find the gradient of y = x³ + 2x² + 2x − 5 at x = 1.
Answer
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