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MAT 120 calculus JAN TO APRIL 2025 SEMESTER BLENDED 2.0 UNIT

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3. What is the derivative of f(x) = x^n using the power rule?
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Differentiate three times , y=0.5 sin(4x)
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calculate the stationary points of y = š‘„3 + 6š‘„2 + 9š‘„ + 4.
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3. If and , what is ?
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*The derivative of ln(x) with respect to x is: *a) 1/x *b) x *c) e^x *Ā d) x^2 *
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13. What is the derivative of ?
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The position of a particle on a line is given by _s(t)_ = _t_ 3 āˆ’ 3 _t_ 2 āˆ’ 6 _t_ + 5, where _t_ is measured in seconds and _s_ is measured in m. Finda. The velocity of the particle at the end of 2 seconds.b. The acceleration of the particle at the end of 2 seconds.
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Evaluate the limit
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10. Which of the following represents the chain rule in differentiation?
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Differentiate implicitlyxy=5
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