Determine as derivadas das seguintes funções: (a) f(x) = 2x8 − 5x3 + 6x+ 7 (0.4) (b) g(y) = cos(e20y) (0.4) (c) h(t) = senh t 1 + cosh t (0.6) ...

(a) f(x) = 2x^8 - 5x^3 + 6x + 7 f'(x) = 16x^7 - 15x^2 + 6 (b) g(y) = cos(e^20y) g'(y) = -20e^20y * sen(e^20y) (c) h(t) = senh(t) / (1 + cosh(t)) h'(t) = (cosh(t) * cosh(t) + senh(t) * senh(t)) / (1 + cosh(t))^2 h'(t) = 1 / (1 + cosh(t))^2 (d) k(z) = arcsen(z) * ln(8z) * 2z k'(z) = (1 / sqrt(1 - z^2)) * ln(8z) * 2z + arcsen(z) * (1 / z) * ln(8z) * 2z + arcsen(z) * ln(8z) * 2 k'(z) = 2z * (arcsen(z) * ln(8z) + 1) / sqrt(1 - z^2) + 2arcsen(z) * ln(8z)