Calculus WorksheetsGrades 11–12

Tangent Line Slopes & Equations Worksheets

Use derivatives to find the slope and slope-intercept equation of the line tangent to a polynomial curve at a given point.

Tangent Line Slopes & Equations

Seed #104729

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Find the tangent line slope or equation at the given value of x.

Find the slope of the tangent line to f(x) = 2x² − x − 3 at x = −2: ______

Find the slope of the tangent line to f(x) = 3x² + 5x − 2 at x = −3: ______

Find the equation of the tangent line to f(x) = 2x² + 5x + 2 at x = −2: ______

Find the equation of the tangent line to f(x) = 3x² + 2x + 2 at x = 3: ______

Find the slope of the tangent line to f(x) = 2x² + 3x − 4 at x = −3: ______

Find the equation of the tangent line to f(x) = 2x² − 2x + 3 at x = 1: ______

Find the slope of the tangent line to f(x) = x² + 2x − 2 at x = −3: ______

Find the slope of the tangent line to f(x) = x² + 5x + 5 at x = 3: ______

Find the slope of the tangent line to f(x) = x² − x + 3 at x = −4: ______

10)

Find the slope of the tangent line to f(x) = x² − 5x + 4 at x = 3: ______

11)

Find the equation of the tangent line to f(x) = 3x² − 5x − 4 at x = −3: ______

12)

Find the equation of the tangent line to f(x) = x² + 5x − 1 at x = 3: ______

Evaluate limits of polynomials by direct substitution and rational functions by factoring and canceling removable discontinuities.

Grades 11–12

Differentiate quadratic, cubic, and quartic polynomials using the power rule and sum/difference rules.

Grades 11–12

Compute derivatives of polynomial products, rational quotients, and composite powers using differentiation rules.

Grades 11–12

Find indefinite antiderivatives with + C and evaluate definite integrals over integer bounds using the Fundamental Theorem of Calculus.

Grades 11–12