QUESTION 20 Diketahui: \(x(t) = 2t^2\) \(y(t) = 50t - 5t^2\) Nilai \(\dfrac {dy}{dx}\) pada t = 1 adalah...

QUESTION 05 Diketahui sebuah fungsi: \(f(x) = \begin{cases} ax + b, & x > 1 \\ x^2 - 3x...

QUESTION 06 Jika \(f(x) = x^3 + mx^2  + 3x - 1\), batas-batas nilai m agar fungsi \(f'(x) >...

QUESTION 07 Turunan pertama dari \(f(x) = 2 \sqrt{x} + \sqrt{2x}\) adalah ... \(\dfrac {1}{\sqrt{x}} + \dfrac {1}{\sqrt{2x}}\) \(\dfrac...

QUESTION 08 Jika \(f(x) = \dfrac {1}{3x^2 - 1}\), maka \(f'(-1) = \dotso\) 1,0 1,5 2,0 2,5 3,0 🔍...

QUESTION 09 Jika \(f(x) = \sqrt {(2x^2 - 17)^3}\), maka \(f'(7) = \dotso\) 7 14 21 28 41...

QUESTION 10 Jika \(f \left( \dfrac 1x \right) = x^2 + 5\), maka \(f'(-1) = \dotso\) −2 −1 1 2 🔍 Solution \begin{equation*} \begin{split} & f \left( \frac 1x \right) = x^2 + 5 \\\\ & f \left( x^{-1} \right) = x^2 + 5 \\\\ & -1 \:.\: x^{-2} \:.\: f' \left( x^{-1} \right)

QUESTION 11 Diketahui dua buah fungsi \(f(x)\) dan \(g(x)\) dimana:   Nilai dari \((f \circ g)' (1) = \dotso\)...

QUESTION 12 Jika \(f(x) = x^2 \: \sqrt{4 - 6x}\), maka \(f'(-2) = \dotso\) −5 −8 −13 −17 −19...

QUESTION 13 Diketahui fungsi \(f(x) = 2x^2 \sqrt{x - p}\) dan \(f'(2) = 12\). Jika nilai p yang memenuhi...