Calculus Practice Questions - Page 1719

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• consider the following curve.\n\n$y = 3x^{2}-10x + 1$\n\nfind the slope $m$ of the tangent line at t...

• differentiate the given function.\ny = x(x^5 + 2)^4\n\\frac{d}{dx}x(x^5 + 2)^4=\\square

• (a) find the slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using t...

• differentiate the following function.\ny = \\frac{2x^{2}}{(4 - 5x)^{4}}\n\\frac{dy}{dx}=\\square

• find the limit. write ∞ or - ∞ where appropriate.\nlim(x→0⁺) - 1/(5x)\nlim(x→0⁺) - 1/(5x)=□ (simplif...

• find the limit. write ∞ or - ∞ where appropriate. \nlim(x→4⁻) 1/(x - 4)\nlim(x→4⁻) 1/(x - 4)=□ (simp...

• differentiate the function.\ny = \\frac{1}{(6x - 1)^3}\n\\frac{dy}{dx}=\\square

• find the limit. write ∞ or - ∞ where appropriate.\nlim(x→4) 1/(x - 4)^2\nlim(x→4) 1/(x - 4)^2 = (si...

• if (f(x)=2x^{2}-x^{3}), find (f^{prime}(x), f^{primeprime}(x), f^{primeprimeprime}(x)), and (f^{(4)}...

• find the limit. (hint: try multiplying and dividing by the conjugate.)\n\\(\\lim_{x\\to+\\infty}(\\s...

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