Mathway

Kalkulus Contoh Penerapan Diferensial

Menentukan Turunan dari Integral

$\int_{0}^{t} 6 x d x$

Langkah 1

Turunkan fungsi $\int_{0}^{t} 6 x d x$ terhadap $t$ menggunakan Teorema Dasar Kalkulus.

$6 t$

Masukkan Soal

Penerapan Diferensial

Finding a Tangent Line to a Curve Checking if Differentiable Over an Interval The Mean Value Theorem Finding the Inflection Points Find Where the Function Increases/Decreases Finding the Critical Points of a Function Find Horizontal Tangent Line Evaluating Limits with L'Hospital Rule Local Maxima and Minima Finding the Absolute Maximum and Minimum on the Given Interval Finding Concavity using the Second Derivative Using the Limit Definition to Find the Tangent Line at a Given Point

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$