Calculus · DER
Equation of a Tangent Line at a Point
Slope of tangent at x=a is f'(a). Equation: y − f(a) = f'(a)(x − a).
CalculusCommon Core CHA-2.DDERVerified correct ✓
Worked examples
Find the equation of the tangent line to f(x) = −x² + 4 at x = -2. Give the y-intercept of the tangent line. Round to 4 decimal places.
Answer: 8
Find the equation of the tangent line to f(x) = x³ + x at x = 3. Give the y-intercept of the tangent line. Round to 4 decimal places.
Answer: -54
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