Tangent lines using derivatives
Grade 12 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Ari wants every x where the tangent to f(x) = x³ − 6x² is parallel to y = −9x + 2. List them, separated by commas.
Bo wants every x where the tangent to f(x) = x³ − 3x² is parallel to y = 9x − 4. List them, separated by commas.
Jun wants every x where the tangent to f(x) = x³ − 9x² is parallel to y = −24x + 5. List them, separated by commas.
Luz wants the line y = 8x + 3 to be tangent to f(x) = x² + c. What number c makes that happen?
Milo wants the line y = −10x + 1 to be tangent to f(x) = x² + c. What number c makes that happen?
Noah wants the line y = 12x − 5 to be tangent to f(x) = x² + c. What number c makes that happen?
Pia finds the tangent line to f(x) = sin x at x = π. Which is it?
- y = −x
- y = −x + π
- y = x − π
- y = −x − π
Ren finds the tangent line to f(x) = cos x at x = π/2. Which is it?
- y = −x
- y = −x − π/2
- y = x − π/2
- y = −x + π/2
Tala finds the tangent line to f(x) = ln x at x = e. Which is it?
- y = x/e + 2
- y = x/e + 1
- y = x + 1 − e
- y = x/e
Zee finds the tangent line to f(x) = x ln x at x = e. Which is it?
- y = ex + e − e²
- y = 2x + 3e
- y = 2x − e
- y = 2x + e